Classification of non-Abelian non-p-group Solvable Triangular Actions on Sufaces from Genus 2 to 13 bdata: 2 48 [ 2, 3, 8 ] G = polycyclic group SmallGroup(48,29) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0 ], [ 1, 1, 1, 1, 1 ]>, true> ] bdata: 2 24 [ 2, 4, 6 ] G = polycyclic group SmallGroup(24,8) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 1, 2 ]>, true> ] bdata: 2 24 [ 3, 3, 4 ] G = polycyclic group SmallGroup(24,3) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 2, 1, 1, 1 ], [ 0, 1, 1, 0 ]>, true> ] bdata: 2 12 [ 3, 4, 4 ] G = polycyclic group SmallGroup(12,1) GrpPC : G of order 12 = 2^2 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 0, 0, 1 ], [ 1, 0, 0 ], [ 1, 1, 2 ]>, true> ] bdata: 3 96 [ 2, 3, 8 ] G = polycyclic group SmallGroup(96,64) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5 * G.6, G.4^2 = G.5, G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4 * G.6, G.5^G.1 = G.5 * G.6, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 1, 0, 1 ], [ 1, 2, 1, 1, 1, 0 ]>, true> ] bdata: 3 48 [ 2, 3, 12 ] G = polycyclic group SmallGroup(48,33) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 1, 0, 0 ], [ 0, 1, 1, 1, 0 ], [ 1, 2, 1, 1, 0 ]>, true> ] bdata: 3 48 [ 2, 4, 6 ] G = polycyclic group SmallGroup(48,48) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 1 ], [ 0, 1, 2, 0, 1 ]>, true> ] bdata: 3 24 [ 2, 4, 12 ] G = polycyclic group SmallGroup(24,5) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 0, 2 ]>, true> ] bdata: 3 24 [ 2, 6, 6 ] G = polycyclic group SmallGroup(24,13) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 1, 1, 1 ], [ 1, 2, 1, 1 ]>, true> ] bdata: 3 48 [ 3, 3, 4 ] G = polycyclic group SmallGroup(48,3) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4 * G.5, G.3^2 = G.4, G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3 * G.5, G.4^G.1 = G.5, G.5^G.1 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 2, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 0 ]>, true> ] bdata: 3 24 [ 3, 3, 6 ] G = polycyclic group SmallGroup(24,3) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 0 ], [ 1, 1, 0, 1 ]>, true> ] bdata: 3 21 [ 3, 3, 7 ] G = polycyclic group SmallGroup(21,1) GrpPC : G of order 21 = 3 * 7 PC-Relations: G.1^3 = Id(G), G.2^7 = Id(G), G.2^G.1 = G.2^2 1 generating vector(s) [ <<[ 1, 0 ], [ 2, 5 ], [ 0, 2 ]>, false> ] bdata: 3 24 [ 3, 4, 4 ] G = polycyclic group SmallGroup(24,12) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 0, 1 ], [ 1, 2, 1, 1 ]>, true> ] bdata: 3 12 [ 4, 4, 6 ] G = polycyclic group SmallGroup(12,1) GrpPC : G of order 12 = 2^2 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 0, 2 ], [ 0, 1, 1 ]>, true> ] bdata: 4 72 [ 2, 3, 12 ] G = polycyclic group SmallGroup(72,42) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 1 ], [ 1, 2, 2, 0, 1 ]>, true> ] bdata: 4 72 [ 2, 4, 6 ] G = polycyclic group SmallGroup(72,40) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2, G.4^G.2 = G.5, G.4^G.3 = G.4^2, G.5^G.2 = G.4, G.5^G.3 = G.5^2 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 1, 2, 2 ], [ 1, 0, 0, 2, 1 ]>, true> ] bdata: 4 40 [ 2, 4, 10 ] G = polycyclic group SmallGroup(40,8) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^5 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 1, 4 ]>, true> ] bdata: 4 36 [ 2, 6, 6 ] G = polycyclic group SmallGroup(36,10) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.3^G.2 = G.3^2, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 1, 0, 0 ], [ 0, 1, 1, 2 ], [ 1, 0, 2, 2 ]>, true> ] bdata: 4 36 [ 2, 6, 6 ] G = polycyclic group SmallGroup(36,12) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 1, 1, 2 ], [ 1, 1, 2, 2 ]>, true> ] bdata: 4 24 [ 2, 6, 12 ] G = polycyclic group SmallGroup(24,10) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 2, 1 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 4 36 [ 3, 3, 6 ] G = polycyclic group SmallGroup(36,11) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 2, 1, 1, 1 ], [ 0, 2, 1, 1 ]>, true> ] bdata: 4 36 [ 3, 4, 4 ] G = polycyclic group SmallGroup(36,9) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.3^G.1 = G.3 * G.4^2, G.3^G.2 = G.3^2, G.4^G.1 = G.3^2 * G.4^2, G.4^G.2 = G.4^2 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 0, 1, 1 ], [ 1, 1, 2, 1 ]>, true> ] bdata: 4 24 [ 3, 4, 6 ] G = polycyclic group SmallGroup(24,3) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 0, 1, 1 ], [ 2, 1, 0, 0 ]>, true> ] bdata: 4 18 [ 3, 6, 6 ] G = polycyclic group SmallGroup(18,3) GrpPC : G of order 18 = 2 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 2 generating vector(s) [ <<[ 0, 0, 1 ], [ 1, 1, 0 ], [ 1, 2, 2 ]>, true>, <<[ 0, 1, 1 ], [ 1, 1, 0 ], [ 1, 1, 2 ]>, true> ] bdata: 4 20 [ 4, 4, 5 ] G = polycyclic group SmallGroup(20,1) GrpPC : G of order 20 = 2^2 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 1 ], [ 0, 0, 4 ]>, true> ] bdata: 4 20 [ 4, 4, 5 ] G = polycyclic group SmallGroup(20,3) GrpPC : G of order 20 = 2^2 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^2, G.3^G.2 = G.3^4 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 1 ], [ 0, 0, 4 ]>, false> ] bdata: 5 192 [ 2, 3, 8 ] G = polycyclic group SmallGroup(192,181) GrpPC : G of order 192 = 2^6 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5 * G.6, G.4^2 = G.5, G.5^2 = Id(G), G.6^2 = Id(G), G.7^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.7, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4 * G.6, G.4^G.3 = G.4 * G.7, G.5^G.1 = G.5 * G.6, G.5^G.2 = G.6 * G.7, G.6^G.2 = G.5 * G.6 * G.7 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 0, 1 ], [ 1, 1, 1, 1, 1, 0, 0 ]>, true> ] bdata: 5 160 [ 2, 4, 5 ] G = polycyclic group SmallGroup(160,234) GrpPC : G of order 160 = 2^5 * 5 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.2^4, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.4^G.2 = G.4 * G.5, G.5^G.1 = G.3 * G.4 * G.6, G.5^G.2 = G.5 * G.6, G.6^G.1 = G.3 * G.5, G.6^G.2 = G.3 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 4, 0, 1, 1, 0 ], [ 0, 1, 0, 1, 0, 1 ]>, true> ] bdata: 5 96 [ 2, 4, 6 ] G = polycyclic group SmallGroup(96,195) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2, G.5^G.1 = G.6, G.5^G.4 = G.6, G.6^G.1 = G.5, G.6^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 2, 0, 1 ], [ 0, 1, 0, 1, 1, 1 ]>, true> ] bdata: 5 48 [ 2, 4, 12 ] G = polycyclic group SmallGroup(48,14) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 1, 1 ]>, true> ] bdata: 5 40 [ 2, 4, 20 ] G = polycyclic group SmallGroup(40,5) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 0, 4 ]>, true> ] bdata: 5 80 [ 2, 5, 5 ] G = polycyclic group SmallGroup(80,49) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^5 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.5, G.3^G.1 = G.2 * G.5, G.4^G.1 = G.2 * G.3 * G.5, G.5^G.1 = G.2 * G.3 * G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 0 ], [ 4, 0, 1, 1, 1 ]>, true> ] bdata: 5 30 [ 2, 6, 15 ] G = polycyclic group SmallGroup(30,2) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 1 ], [ 0, 2, 4 ]>, true> ] bdata: 5 96 [ 3, 3, 4 ] G = polycyclic group SmallGroup(96,3) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4 * G.5, G.3^2 = G.4, G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3 * G.5, G.3^G.2 = G.3 * G.6, G.4^G.1 = G.5 * G.6, G.5^G.1 = G.4 * G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 2, 0, 1, 0, 0, 1 ], [ 0, 0, 1, 1, 0, 1 ]>, true> ] bdata: 5 48 [ 3, 4, 4 ] G = polycyclic group SmallGroup(48,30) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 2 generating vector(s) [ <<[ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 1, 1 ], [ 1, 1, 2, 0, 1 ]>, true>, <<[ 0, 0, 1, 0, 0 ], [ 1, 0, 1, 1, 0 ], [ 1, 1, 0, 0, 1 ]>, true> ] bdata: 5 24 [ 3, 6, 6 ] G = polycyclic group SmallGroup(24,13) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 1, 1, 1 ], [ 1, 1, 1, 0 ]>, true> ] bdata: 5 24 [ 4, 4, 6 ] G = polycyclic group SmallGroup(24,7) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 0, 2 ]>, true> ] bdata: 5 20 [ 4, 4, 10 ] G = polycyclic group SmallGroup(20,1) GrpPC : G of order 20 = 2^2 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 0, 3 ], [ 0, 1, 2 ]>, true> ] bdata: 6 150 [ 2, 3, 10 ] G = polycyclic group SmallGroup(150,5) GrpPC : G of order 150 = 2 * 3 * 5^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^5 = Id(G), G.4^5 = Id(G), G.2^G.1 = G.2^2, G.3^G.2 = G.3 * G.4^3, G.4^G.1 = G.3^4 * G.4^4, G.4^G.2 = G.3^4 * G.4^3 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 2, 4, 3 ], [ 1, 2, 0, 1 ]>, true> ] bdata: 6 72 [ 2, 4, 9 ] G = polycyclic group SmallGroup(72,15) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = G.3^2, G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.2^2 * G.3, G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.2 = G.5, G.5^G.1 = G.4, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 2, 0, 1, 1 ], [ 0, 1, 1, 1, 0 ]>, true> ] bdata: 6 56 [ 2, 4, 14 ] G = polycyclic group SmallGroup(56,7) GrpPC : G of order 56 = 2^3 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^7 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^6 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 2 ], [ 0, 1, 0, 5 ]>, true> ] bdata: 6 48 [ 2, 4, 24 ] G = polycyclic group SmallGroup(48,6) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 2 ], [ 0, 1, 1, 1, 1 ]>, true> ] bdata: 6 50 [ 2, 5, 10 ] G = polycyclic group SmallGroup(50,3) GrpPC : G of order 50 = 2 * 5^2 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 0, 3, 3 ], [ 1, 2, 3 ]>, true> ] bdata: 6 48 [ 2, 6, 8 ] G = polycyclic group SmallGroup(48,15) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 2 ], [ 1, 1, 1, 0, 2 ]>, true> ] bdata: 6 48 [ 2, 6, 8 ] G = polycyclic group SmallGroup(48,29) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 2, 1, 1, 1 ], [ 1, 2, 0, 1, 1 ]>, true> ] bdata: 6 36 [ 2, 9, 9 ] G = polycyclic group SmallGroup(36,3) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^3 = G.2, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 0, 1, 1 ], [ 2, 2, 1, 1 ]>, true> ] bdata: 6 30 [ 2, 10, 15 ] G = polycyclic group SmallGroup(30,1) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 1 ], [ 0, 4, 2 ]>, true> ] bdata: 6 75 [ 3, 3, 5 ] G = polycyclic group SmallGroup(75,2) GrpPC : G of order 75 = 3 * 5^2 PC-Relations: G.1^3 = Id(G), G.2^5 = Id(G), G.3^5 = Id(G), G.2^G.1 = G.2 * G.3^3, G.3^G.1 = G.2^4 * G.3^3 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 2, 4, 0 ], [ 0, 1, 0 ]>, true> ] bdata: 6 39 [ 3, 3, 13 ] G = polycyclic group SmallGroup(39,1) GrpPC : G of order 39 = 3 * 13 PC-Relations: G.1^3 = Id(G), G.2^13 = Id(G), G.2^G.1 = G.2^3 1 generating vector(s) [ <<[ 1, 0 ], [ 2, 2 ], [ 0, 11 ]>, false> ] bdata: 6 24 [ 3, 8, 8 ] G = polycyclic group SmallGroup(24,1) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 0, 0, 0, 1 ], [ 1, 0, 0, 2 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 6 28 [ 4, 4, 7 ] G = polycyclic group SmallGroup(28,1) GrpPC : G of order 28 = 2^2 * 7 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 5 ], [ 0, 0, 2 ]>, true> ] bdata: 6 24 [ 4, 4, 12 ] G = polycyclic group SmallGroup(24,4) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.3, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 1, 2 ]>, true> ] bdata: 6 24 [ 4, 6, 6 ] G = polycyclic group SmallGroup(24,3) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 1, 1, 1 ], [ 2, 1, 1, 0 ]>, true> ] bdata: 6 24 [ 4, 6, 6 ] G = polycyclic group SmallGroup(24,10) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 1, 1, 0, 1 ], [ 1, 0, 2, 1 ], [ 0, 1, 1, 1 ]>, true> ] bdata: 7 144 [ 2, 3, 12 ] G = polycyclic group SmallGroup(144,127) GrpPC : G of order 144 = 2^4 * 3^2 PC-Relations: G.1^2 = G.6, G.2^3 = Id(G), G.3^2 = G.6, G.4^2 = G.6, G.5^3 = Id(G), G.6^2 = Id(G), G.3^G.2 = G.3 * G.4, G.4^G.2 = G.3, G.4^G.3 = G.4 * G.6, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 1, 1, 0 ], [ 1, 1, 0, 0, 1, 0 ]>, true> ] bdata: 7 56 [ 2, 4, 28 ] G = polycyclic group SmallGroup(56,4) GrpPC : G of order 56 = 2^3 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^7 = Id(G), G.4^G.1 = G.4^6 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 2 ], [ 0, 1, 1, 5 ]>, true> ] bdata: 7 54 [ 2, 6, 9 ] G = polycyclic group SmallGroup(54,3) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = G.4^2, G.4^3 = Id(G), G.3^G.1 = G.3^2 * G.4, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 2, 2, 0 ]>, true> ] bdata: 7 54 [ 2, 6, 9 ] G = polycyclic group SmallGroup(54,6) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = G.4^2, G.4^3 = Id(G), G.3^G.1 = G.3^2 * G.4, G.3^G.2 = G.3 * G.4, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 2, 2, 1 ]>, false> ] bdata: 7 48 [ 2, 6, 12 ] G = polycyclic group SmallGroup(48,33) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 1, 0, 0 ], [ 0, 1, 1, 1, 1 ], [ 1, 2, 1, 1, 1 ]>, true> ] bdata: 7 42 [ 2, 6, 21 ] G = polycyclic group SmallGroup(42,4) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 5 ], [ 0, 2, 2 ]>, true> ] bdata: 7 56 [ 2, 7, 7 ] G = polycyclic group SmallGroup(56,11) GrpPC : G of order 56 = 2^3 * 7 PC-Relations: G.1^7 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.4, G.4^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 0, 0 ], [ 6, 1, 0, 0 ]>, false> ] bdata: 7 72 [ 3, 3, 6 ] G = polycyclic group SmallGroup(72,25) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0 ], [ 1, 2, 1, 1, 1 ]>, true> ] bdata: 7 48 [ 3, 4, 6 ] G = polycyclic group SmallGroup(48,32) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 1, 1 ], [ 1, 2, 1, 0, 0 ]>, true> ] bdata: 7 36 [ 3, 4, 12 ] G = polycyclic group SmallGroup(36,6) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 0, 1, 0, 1 ], [ 1, 0, 0, 2 ], [ 1, 2, 1, 1 ]>, true> ] bdata: 7 28 [ 4, 4, 14 ] G = polycyclic group SmallGroup(28,1) GrpPC : G of order 28 = 2^2 * 7 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 0, 3 ], [ 0, 1, 4 ]>, true> ] bdata: 7 24 [ 6, 6, 6 ] G = polycyclic group SmallGroup(24,3) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 0, 1 ]>, true> ] bdata: 8 72 [ 2, 4, 18 ] G = polycyclic group SmallGroup(72,8) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = G.5^2, G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2 * G.5, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2 ], [ 0, 1, 1, 1, 2 ]>, true> ] bdata: 8 84 [ 2, 6, 6 ] G = polycyclic group SmallGroup(84,7) GrpPC : G of order 84 = 2^2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^7 = Id(G), G.4^G.1 = G.4^6, G.4^G.3 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 1, 1, 3 ], [ 1, 1, 2, 6 ]>, false> ] bdata: 8 60 [ 2, 6, 10 ] G = polycyclic group SmallGroup(60,8) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^5 = Id(G), G.3^G.2 = G.3^2, G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 1, 0, 0 ], [ 1, 0, 1, 2 ], [ 0, 1, 1, 3 ]>, true> ] bdata: 8 48 [ 2, 6, 24 ] G = polycyclic group SmallGroup(48,25) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2 * G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 2, 0, 1 ], [ 1, 1, 1, 0, 1 ]>, true> ] bdata: 8 48 [ 2, 8, 12 ] G = polycyclic group SmallGroup(48,17) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 2 ], [ 0, 1, 0, 1, 1 ]>, true> ] bdata: 8 40 [ 2, 10, 20 ] G = polycyclic group SmallGroup(40,10) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^5 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 4, 0 ], [ 1, 1, 1, 0 ]>, true> ] bdata: 8 48 [ 3, 4, 8 ] G = polycyclic group SmallGroup(48,28) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 2, 1, 0, 0 ], [ 1, 1, 1, 1, 0 ]>, true> ] bdata: 8 42 [ 3, 6, 6 ] G = polycyclic group SmallGroup(42,1) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6, G.3^G.2 = G.3^4 1 generating vector(s) [ <<[ 0, 1, 0 ], [ 1, 1, 5 ], [ 1, 1, 6 ]>, false> ] bdata: 8 42 [ 3, 6, 6 ] G = polycyclic group SmallGroup(42,2) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.2 = G.3^2 1 generating vector(s) [ <<[ 0, 1, 0 ], [ 1, 1, 5 ], [ 1, 1, 4 ]>, false> ] bdata: 8 30 [ 3, 10, 10 ] G = polycyclic group SmallGroup(30,1) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 0, 0, 1 ], [ 1, 1, 0 ], [ 1, 4, 2 ]>, true> ] bdata: 8 36 [ 4, 4, 9 ] G = polycyclic group SmallGroup(36,1) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = G.4^2, G.4^3 = Id(G), G.3^G.1 = G.3^2 * G.4, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 2, 2 ], [ 0, 0, 1, 2 ]>, true> ] bdata: 8 24 [ 4, 12, 12 ] G = polycyclic group SmallGroup(24,11) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = G.4, G.3^3 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 2, 1 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 8 30 [ 5, 6, 6 ] G = polycyclic group SmallGroup(30,2) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 0, 0, 1 ], [ 1, 1, 0 ], [ 1, 2, 4 ]>, true> ] bdata: 8 24 [ 6, 6, 12 ] G = polycyclic group SmallGroup(24,10) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 1, 0 ], [ 1, 0, 1, 1 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 8 24 [ 6, 8, 8 ] G = polycyclic group SmallGroup(24,1) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 0, 0, 1, 1 ], [ 1, 0, 0, 2 ], [ 1, 1, 0, 1 ]>, true> ] bdata: 9 192 [ 2, 3, 12 ] G = polycyclic group SmallGroup(192,194) GrpPC : G of order 192 = 2^6 * 3 PC-Relations: G.1^2 = G.7, G.2^3 = Id(G), G.3^2 = G.5 * G.6 * G.7, G.4^2 = G.5 * G.7, G.5^2 = Id(G), G.6^2 = Id(G), G.7^2 = Id(G), G.3^G.1 = G.3 * G.5 * G.6, G.3^G.2 = G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.3 * G.4 * G.6, G.4^G.3 = G.4 * G.7, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 1, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 1, 0, 0 ], [ 1, 2, 1, 0, 0, 0, 0 ]>, true> ] bdata: 9 320 [ 2, 4, 5 ] G = polycyclic group SmallGroup(320,1582) GrpPC : G of order 320 = 2^6 * 5 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^2 = Id(G), G.4^2 = G.7, G.5^2 = G.7, G.6^2 = Id(G), G.7^2 = Id(G), G.2^G.1 = G.2^4, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.4^G.1 = G.4 * G.7, G.4^G.2 = G.4 * G.5, G.4^G.3 = G.4 * G.7, G.5^G.1 = G.3 * G.4 * G.6, G.5^G.2 = G.5 * G.6, G.5^G.3 = G.5 * G.7, G.5^G.4 = G.5 * G.7, G.6^G.1 = G.3 * G.5, G.6^G.2 = G.3 * G.7, G.6^G.3 = G.6 * G.7 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 0, 0, 1, 1, 0 ], [ 0, 3, 1, 1, 0, 1, 0 ]>, true> ] bdata: 9 192 [ 2, 4, 6 ] G = polycyclic group SmallGroup(192,955) GrpPC : G of order 192 = 2^6 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.7^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.2 = G.4 * G.6 * G.7, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.2 = G.5 * G.6, G.5^G.3 = G.4 * G.5, G.6^G.1 = G.6 * G.7, G.6^G.3 = G.7, G.7^G.3 = G.6 * G.7 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 2, 1, 1, 0, 1 ], [ 0, 1, 1, 1, 0, 0, 0 ]>, true> ] bdata: 9 192 [ 2, 4, 6 ] G = polycyclic group SmallGroup(192,990) GrpPC : G of order 192 = 2^6 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = G.7, G.4^3 = Id(G), G.5^2 = G.7, G.6^2 = G.7, G.7^2 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.7, G.3^G.2 = G.3 * G.7, G.4^G.1 = G.4^2, G.5^G.1 = G.6, G.5^G.4 = G.6 * G.7, G.6^G.1 = G.5, G.6^G.4 = G.5 * G.6, G.6^G.5 = G.6 * G.7 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 2, 0, 1, 0 ], [ 0, 1, 0, 1, 1, 1, 1 ]>, true> ] bdata: 9 96 [ 2, 4, 12 ] G = polycyclic group SmallGroup(96,13) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.4, G.3^G.1 = G.3 * G.5, G.4^G.2 = G.4 * G.5, G.6^G.1 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 1 ], [ 0, 1, 1, 1, 1, 2 ]>, true> ] bdata: 9 96 [ 2, 4, 12 ] G = polycyclic group SmallGroup(96,186) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.4^G.1 = G.4^2, G.5^G.1 = G.6, G.5^G.4 = G.6, G.6^G.1 = G.5, G.6^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 2, 0, 1 ], [ 0, 1, 1, 1, 1, 1 ]>, true> ] bdata: 9 96 [ 2, 4, 12 ] G = polycyclic group SmallGroup(96,187) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2, G.5^G.1 = G.6, G.5^G.4 = G.6, G.6^G.1 = G.5, G.6^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 2, 0, 1 ], [ 0, 1, 1, 1, 1, 1 ]>, true> ] bdata: 9 80 [ 2, 4, 20 ] G = polycyclic group SmallGroup(80,14) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^2 = Id(G), G.5^5 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^4 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 2 ], [ 0, 1, 0, 0, 3 ]>, true> ] bdata: 9 72 [ 2, 4, 36 ] G = polycyclic group SmallGroup(72,5) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = G.5^2, G.5^3 = Id(G), G.4^G.1 = G.4^2 * G.5, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2 ], [ 0, 1, 0, 1, 2 ]>, true> ] bdata: 9 160 [ 2, 5, 5 ] G = polycyclic group SmallGroup(160,199) GrpPC : G of order 160 = 2^5 * 5 PC-Relations: G.1^5 = Id(G), G.2^2 = Id(G), G.3^2 = G.6, G.4^2 = G.6, G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.5, G.3^G.1 = G.2 * G.5, G.3^G.2 = G.3 * G.6, G.4^G.1 = G.2 * G.3 * G.5, G.4^G.2 = G.4 * G.6, G.4^G.3 = G.4 * G.6, G.5^G.1 = G.2 * G.3 * G.4 * G.5, G.5^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 0, 0 ], [ 4, 0, 0, 1, 0, 0 ]>, true> ] bdata: 9 96 [ 2, 6, 6 ] G = polycyclic group SmallGroup(96,70) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.1 = G.3 * G.5, G.3^G.2 = G.4, G.4^G.1 = G.4 * G.6, G.4^G.2 = G.3 * G.4, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 0, 1, 0, 0, 0 ], [ 1, 1, 1, 0, 0, 0 ], [ 1, 2, 0, 1, 1, 1 ]>, true> ] bdata: 9 48 [ 2, 8, 24 ] G = polycyclic group SmallGroup(48,4) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 9 48 [ 2, 8, 24 ] G = polycyclic group SmallGroup(48,5) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 9 48 [ 2, 12, 12 ] G = polycyclic group SmallGroup(48,21) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 1, 1, 0 ], [ 1, 1, 2, 1, 1 ]>, true> ] bdata: 9 48 [ 2, 12, 12 ] G = polycyclic group SmallGroup(48,31) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 2 generating vector(s) [ <<[ 0, 0, 0, 1, 0 ], [ 1, 1, 0, 1, 1 ], [ 1, 2, 1, 1, 1 ]>, true>, <<[ 0, 0, 1, 1, 0 ], [ 1, 1, 0, 1, 1 ], [ 1, 2, 0, 1, 1 ]>, true> ] bdata: 9 42 [ 2, 14, 21 ] G = polycyclic group SmallGroup(42,3) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^7 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 5, 2 ], [ 0, 2, 1 ]>, true> ] bdata: 9 96 [ 3, 3, 6 ] G = polycyclic group SmallGroup(96,3) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4 * G.5, G.3^2 = G.4, G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3 * G.5, G.3^G.2 = G.3 * G.6, G.4^G.1 = G.5 * G.6, G.5^G.1 = G.4 * G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 1, 0 ], [ 1, 0, 1, 0, 1, 1 ]>, true> ] bdata: 9 57 [ 3, 3, 19 ] G = polycyclic group SmallGroup(57,1) GrpPC : G of order 57 = 3 * 19 PC-Relations: G.1^3 = Id(G), G.2^19 = Id(G), G.2^G.1 = G.2^7 1 generating vector(s) [ <<[ 1, 0 ], [ 2, 12 ], [ 0, 7 ]>, false> ] bdata: 9 96 [ 3, 4, 4 ] G = polycyclic group SmallGroup(96,67) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = G.6, G.3^3 = Id(G), G.4^2 = G.6, G.5^2 = G.6, G.6^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5 * G.6, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5, G.5^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 0, 1, 0, 0, 0 ], [ 1, 1, 2, 1, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ]>, true> ] bdata: 9 96 [ 3, 4, 4 ] G = polycyclic group SmallGroup(96,227) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.5^G.1 = G.6, G.5^G.2 = G.5 * G.6, G.6^G.1 = G.5, G.6^G.2 = G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 1, 0 ]>, true> ] bdata: 9 48 [ 3, 4, 12 ] G = polycyclic group SmallGroup(48,31) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 1 ], [ 1, 2, 1, 1, 0 ]>, true> ] bdata: 9 48 [ 3, 6, 6 ] G = polycyclic group SmallGroup(48,32) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 0 ], [ 1, 1, 1, 1, 1 ]>, true> ] bdata: 9 48 [ 4, 4, 6 ] G = polycyclic group SmallGroup(48,19) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 1, 1 ]>, true> ] bdata: 9 48 [ 4, 4, 6 ] G = polycyclic group SmallGroup(48,30) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 2 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 0, 2, 0, 1 ], [ 0, 1, 1, 1, 1 ]>, true>, <<[ 1, 0, 0, 1, 0 ], [ 1, 0, 2, 0, 1 ], [ 0, 1, 1, 1, 0 ]>, true> ] bdata: 9 48 [ 4, 4, 6 ] G = polycyclic group SmallGroup(48,48) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 1, 0 ], [ 1, 1, 1, 1, 1 ], [ 0, 1, 2, 0, 0 ]>, true> ] bdata: 9 40 [ 4, 4, 10 ] G = polycyclic group SmallGroup(40,7) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 1, 1 ]>, true> ] bdata: 9 40 [ 4, 4, 10 ] G = polycyclic group SmallGroup(40,12) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^2, G.4^G.3 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 0, 4 ]>, false> ] bdata: 9 36 [ 4, 4, 18 ] G = polycyclic group SmallGroup(36,1) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = G.4^2, G.4^3 = Id(G), G.3^G.1 = G.3^2 * G.4, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 0, 1, 1 ], [ 0, 1, 2, 0 ]>, true> ] bdata: 9 24 [ 8, 8, 12 ] G = polycyclic group SmallGroup(24,1) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 2 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 0, 0, 2 ], [ 0, 1, 1, 1 ]>, true>, <<[ 1, 0, 0, 0 ], [ 1, 0, 1, 2 ], [ 0, 1, 0, 1 ]>, true> ] bdata: 10 432 [ 2, 3, 8 ] G = polycyclic group SmallGroup(432,734) GrpPC : G of order 432 = 2^4 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.6^3 = Id(G), G.7^3 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.3 * G.5, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3 * G.4 * G.5, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5, G.6^G.1 = G.6 * G.7^2, G.6^G.2 = G.7^2, G.6^G.3 = G.6^2 * G.7, G.6^G.4 = G.7^2, G.6^G.5 = G.6^2, G.7^G.1 = G.7^2, G.7^G.2 = G.6 * G.7^2, G.7^G.3 = G.6 * G.7, G.7^G.4 = G.6, G.7^G.5 = G.7^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 0, 1 ]>, false> ] bdata: 10 324 [ 2, 3, 9 ] G = polycyclic group SmallGroup(324,160) GrpPC : G of order 324 = 2^2 * 3^4 PC-Relations: G.1^3 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.2, G.4^G.1 = G.5, G.4^G.3 = G.4^2, G.5^G.1 = G.6, G.5^G.2 = G.5^2, G.5^G.3 = G.5^2, G.6^G.1 = G.4, G.6^G.2 = G.6^2 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 2, 1, 0, 2, 2, 1 ], [ 1, 0, 1, 1, 2, 1 ]>, true> ] bdata: 10 216 [ 2, 3, 12 ] G = polycyclic group SmallGroup(216,92) GrpPC : G of order 216 = 2^3 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.1 = G.3^2, G.3^G.2 = G.3 * G.4, G.4^G.1 = G.4^2, G.5^G.1 = G.6, G.5^G.3 = G.6, G.6^G.1 = G.5, G.6^G.3 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 2, 1, 1 ], [ 1, 2, 2, 0, 0, 1 ]>, true> ] bdata: 10 162 [ 2, 3, 18 ] G = polycyclic group SmallGroup(162,14) GrpPC : G of order 162 = 2 * 3^4 PC-Relations: G.1^2 = Id(G), G.2^3 = G.5, G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.3^G.1 = G.3^2, G.3^G.2 = G.3 * G.4, G.4^G.1 = G.4^2 * G.5, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 2, 0, 2 ], [ 1, 2, 2, 1, 2 ]>, true> ] bdata: 10 144 [ 2, 3, 24 ] G = polycyclic group SmallGroup(144,122) GrpPC : G of order 144 = 2^4 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = G.6, G.5^2 = G.6, G.6^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5 * G.6, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5, G.5^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 2, 1, 1, 1, 1 ], [ 1, 1, 1, 1, 0, 0 ]>, true> ] bdata: 10 216 [ 2, 4, 6 ] G = polycyclic group SmallGroup(216,87) GrpPC : G of order 216 = 2^3 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^2, G.4^G.2 = G.5, G.4^G.3 = G.4^2, G.5^G.2 = G.4, G.5^G.3 = G.5^2, G.5^G.4 = G.5 * G.6, G.6^G.1 = G.6^2, G.6^G.2 = G.6^2 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 1, 2 ], [ 1, 0, 0, 2, 2, 0 ]>, true> ] bdata: 10 216 [ 2, 4, 6 ] G = polycyclic group SmallGroup(216,158) GrpPC : G of order 216 = 2^3 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.5, G.4^G.2 = G.4^2, G.4^G.3 = G.4^2, G.5^G.1 = G.4, G.5^G.3 = G.5^2, G.6^G.1 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 0, 2 ], [ 0, 1, 1, 1, 0, 1 ]>, true> ] bdata: 10 144 [ 2, 4, 8 ] G = polycyclic group SmallGroup(144,182) GrpPC : G of order 144 = 2^4 * 3^2 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3 * G.4, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.6, G.5^G.2 = G.5 * G.6^2, G.5^G.3 = G.5 * G.6^2, G.5^G.4 = G.5^2, G.6^G.1 = G.5 * G.6^2, G.6^G.2 = G.6^2, G.6^G.3 = G.5^2 * G.6^2, G.6^G.4 = G.6^2 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0 ], [ 1, 0, 1, 0, 1, 1 ]>, false> ] bdata: 10 108 [ 2, 4, 12 ] G = polycyclic group SmallGroup(108,15) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.3^G.1 = G.3 * G.4^2, G.3^G.2 = G.3^2, G.4^G.1 = G.3^2 * G.4^2, G.4^G.2 = G.4^2 * G.5, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 1, 0 ], [ 1, 0, 1, 1, 1 ]>, true> ] bdata: 10 88 [ 2, 4, 22 ] G = polycyclic group SmallGroup(88,7) GrpPC : G of order 88 = 2^3 * 11 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^11 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^10 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 0, 7 ]>, true> ] bdata: 10 80 [ 2, 4, 40 ] G = polycyclic group SmallGroup(80,6) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = G.4, G.4^2 = Id(G), G.5^5 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.5^G.1 = G.5^4 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 2 ], [ 0, 1, 0, 1, 3 ]>, true> ] bdata: 10 108 [ 2, 6, 6 ] G = polycyclic group SmallGroup(108,17) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.3^G.2 = G.3^2, G.4^G.1 = G.4^2, G.4^G.3 = G.4 * G.5, G.5^G.1 = G.5^2, G.5^G.2 = G.5^2 1 generating vector(s) [ <<[ 1, 1, 0, 0, 0 ], [ 0, 1, 2, 1, 1 ], [ 1, 0, 1, 1, 2 ]>, true> ] bdata: 10 108 [ 2, 6, 6 ] G = polycyclic group SmallGroup(108,25) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.4^G.1 = G.4^2, G.4^G.3 = G.4 * G.5, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 2, 2, 2 ], [ 0, 1, 1, 1, 2 ]>, true> ] bdata: 10 108 [ 2, 6, 6 ] G = polycyclic group SmallGroup(108,38) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.4^G.2 = G.4^2, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 1, 0, 0, 0 ], [ 0, 1, 2, 1, 2 ], [ 1, 0, 1, 2, 2 ]>, true> ] bdata: 10 72 [ 2, 6, 12 ] G = polycyclic group SmallGroup(72,23) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.2 = G.4^2, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 1, 1, 0, 0 ], [ 1, 0, 0, 2, 2 ], [ 0, 1, 1, 2, 1 ]>, true> ] bdata: 10 72 [ 2, 6, 12 ] G = polycyclic group SmallGroup(72,28) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = G.4, G.3^3 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 2, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 10 72 [ 2, 6, 12 ] G = polycyclic group SmallGroup(72,30) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 2 ], [ 1, 1, 1, 0, 2 ]>, true> ] bdata: 10 60 [ 2, 6, 30 ] G = polycyclic group SmallGroup(60,10) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 1, 1 ], [ 0, 1, 2, 4 ]>, true> ] bdata: 10 72 [ 2, 8, 8 ] G = polycyclic group SmallGroup(72,39) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.4^G.1 = G.5, G.4^G.2 = G.4 * G.5^2, G.4^G.3 = G.4^2, G.5^G.1 = G.4 * G.5^2, G.5^G.2 = G.4^2 * G.5^2, G.5^G.3 = G.5^2 1 generating vector(s) [ <<[ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 1, 1 ], [ 1, 1, 0, 2, 1 ]>, false> ] bdata: 10 54 [ 2, 9, 18 ] G = polycyclic group SmallGroup(54,4) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = G.3, G.3^3 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 1, 1, 2 ], [ 1, 2, 1, 2 ]>, true> ] bdata: 10 48 [ 2, 12, 24 ] G = polycyclic group SmallGroup(48,26) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2 * G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 1, 0, 1 ], [ 1, 1, 2, 0, 0 ]>, true> ] bdata: 10 216 [ 3, 3, 4 ] G = polycyclic group SmallGroup(216,153) GrpPC : G of order 216 = 2^3 * 3^3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.3 * G.4, G.3^G.1 = G.2 * G.3, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.6^2, G.5^G.2 = G.5^2 * G.6, G.5^G.3 = G.6^2, G.5^G.4 = G.5^2, G.6^G.1 = G.5 * G.6^2, G.6^G.2 = G.5 * G.6, G.6^G.3 = G.5, G.6^G.4 = G.6^2 2 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 2, 0, 1, 0, 1, 2 ], [ 0, 0, 1, 1, 2, 2 ]>, true>, <<[ 1, 0, 0, 0, 1, 2 ], [ 2, 0, 1, 0, 1, 0 ], [ 0, 0, 1, 1, 0, 1 ]>, false> ] bdata: 10 108 [ 3, 3, 6 ] G = polycyclic group SmallGroup(108,22) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.5, G.5^G.1 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 2, 2, 2, 1, 0 ], [ 0, 1, 1, 1, 0 ]>, true> ] bdata: 10 72 [ 3, 3, 12 ] G = polycyclic group SmallGroup(72,25) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 2, 1, 1, 1, 1 ], [ 0, 2, 1, 1, 0 ]>, true> ] bdata: 10 63 [ 3, 3, 21 ] G = polycyclic group SmallGroup(63,3) GrpPC : G of order 63 = 3^2 * 7 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 2, 1, 3 ], [ 0, 2, 4 ]>, false> ] bdata: 10 108 [ 3, 4, 4 ] G = polycyclic group SmallGroup(108,15) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.3^G.1 = G.3 * G.4^2, G.3^G.2 = G.3^2, G.4^G.1 = G.3^2 * G.4^2, G.4^G.2 = G.4^2 * G.5, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 0, 1, 0, 0 ], [ 1, 0, 1, 2, 1 ], [ 1, 1, 1, 0, 2 ]>, true> ] bdata: 10 108 [ 3, 4, 4 ] G = polycyclic group SmallGroup(108,37) GrpPC : G of order 108 = 2^2 * 3^3 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.3^G.1 = G.3^2 * G.4, G.3^G.2 = G.3^2, G.4^G.1 = G.3 * G.4, G.4^G.2 = G.4^2, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 0, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 2 ], [ 1, 1, 1, 1, 1 ]>, true> ] bdata: 10 72 [ 3, 4, 6 ] G = polycyclic group SmallGroup(72,42) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 0, 1, 1, 1 ], [ 1, 2, 0, 1, 1 ]>, true> ] bdata: 10 54 [ 3, 6, 6 ] G = polycyclic group SmallGroup(54,5) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.3^G.1 = G.3^2, G.3^G.2 = G.3 * G.4, G.4^G.1 = G.4^2 2 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 1, 1, 1 ], [ 1, 2, 0, 0 ]>, true>, <<[ 0, 1, 1, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 0, 2 ]>, true> ] bdata: 10 54 [ 3, 6, 6 ] G = polycyclic group SmallGroup(54,10) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.3^G.2 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 2, 0, 0 ], [ 1, 1, 2, 0 ]>, true> ] bdata: 10 54 [ 3, 6, 6 ] G = polycyclic group SmallGroup(54,12) GrpPC : G of order 54 = 2 * 3^3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 0, 0, 1, 1 ], [ 1, 2, 0, 0 ], [ 1, 1, 2, 2 ]>, true> ] bdata: 10 42 [ 3, 6, 14 ] G = polycyclic group SmallGroup(42,2) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.2 = G.3^2 1 generating vector(s) [ <<[ 0, 1, 0 ], [ 1, 2, 6 ], [ 1, 0, 1 ]>, false> ] bdata: 10 36 [ 3, 12, 12 ] G = polycyclic group SmallGroup(36,6) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 2 generating vector(s) [ <<[ 0, 0, 0, 1 ], [ 1, 1, 0, 1 ], [ 1, 2, 1, 0 ]>, true>, <<[ 0, 1, 0, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ]>, true> ] bdata: 10 72 [ 4, 4, 4 ] G = polycyclic group SmallGroup(72,41) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = G.3, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4 * G.5^2, G.4^G.2 = G.5, G.4^G.3 = G.4^2, G.5^G.1 = G.4^2 * G.5^2, G.5^G.2 = G.4^2, G.5^G.3 = G.5^2 2 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 1, 0, 1 ], [ 1, 0, 0, 1, 1 ]>, false>, <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 2, 0 ], [ 1, 1, 0, 1, 1 ]>, false> ] bdata: 10 44 [ 4, 4, 11 ] G = polycyclic group SmallGroup(44,1) GrpPC : G of order 44 = 2^2 * 11 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^11 = Id(G), G.3^G.1 = G.3^10 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 5 ], [ 0, 0, 6 ]>, true> ] bdata: 10 40 [ 4, 4, 20 ] G = polycyclic group SmallGroup(40,4) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.3, G.3^2 = Id(G), G.4^5 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 0, 1 ]>, true> ] bdata: 10 36 [ 4, 6, 12 ] G = polycyclic group SmallGroup(36,6) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 0, 1, 1, 2 ], [ 1, 2, 0, 2 ]>, true> ] bdata: 10 36 [ 6, 6, 6 ] G = polycyclic group SmallGroup(36,12) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 2 generating vector(s) [ <<[ 0, 1, 0, 1 ], [ 1, 0, 1, 2 ], [ 1, 1, 2, 1 ]>, true>, <<[ 0, 1, 1, 1 ], [ 1, 0, 1, 2 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 10 30 [ 6, 6, 15 ] G = polycyclic group SmallGroup(30,2) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^5 = Id(G), G.3^G.1 = G.3^4 1 generating vector(s) [ <<[ 1, 1, 0 ], [ 1, 1, 1 ], [ 0, 1, 4 ]>, true> ] bdata: 10 24 [ 12, 12, 12 ] G = polycyclic group SmallGroup(24,11) GrpPC : G of order 24 = 2^3 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = G.4, G.3^3 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 1, 0 ], [ 1, 1, 1, 0 ], [ 1, 0, 1, 1 ]>, true> ] bdata: 11 160 [ 2, 4, 8 ] G = polycyclic group SmallGroup(160,82) GrpPC : G of order 160 = 2^5 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^2 = G.5, G.5^2 = Id(G), G.6^5 = Id(G), G.2^G.1 = G.2 * G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.4 * G.5, G.6^G.1 = G.6^2, G.6^G.3 = G.6^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 3 ], [ 1, 1, 0, 0, 1, 4 ]>, false> ] bdata: 11 160 [ 2, 4, 8 ] G = polycyclic group SmallGroup(160,85) GrpPC : G of order 160 = 2^5 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.5, G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.6^5 = Id(G), G.2^G.1 = G.2 * G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.4 * G.5, G.6^G.1 = G.6^2, G.6^G.3 = G.6^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 2 ], [ 1, 0, 0, 0, 0, 1 ]>, false> ] bdata: 11 120 [ 2, 4, 12 ] G = polycyclic group SmallGroup(120,36) GrpPC : G of order 120 = 2^3 * 3 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^5 = Id(G), G.4^G.2 = G.4^2, G.5^G.1 = G.5^2, G.5^G.3 = G.5^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 1, 0, 1, 4 ], [ 1, 0, 0, 2, 2 ]>, false> ] bdata: 11 96 [ 2, 4, 24 ] G = polycyclic group SmallGroup(96,28) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3 * G.4, G.3^2 = G.5, G.4^2 = Id(G), G.5^2 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.5, G.6^G.1 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 1, 1 ], [ 0, 1, 1, 1, 0, 2 ]>, true> ] bdata: 11 96 [ 2, 4, 24 ] G = polycyclic group SmallGroup(96,32) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.4, G.4^G.1 = G.4 * G.5, G.4^G.2 = G.4 * G.5, G.6^G.1 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 2 ], [ 0, 1, 1, 1, 1, 1 ]>, true> ] bdata: 11 88 [ 2, 4, 44 ] G = polycyclic group SmallGroup(88,4) GrpPC : G of order 88 = 2^3 * 11 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^11 = Id(G), G.4^G.1 = G.4^10 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 1, 7 ]>, true> ] bdata: 11 96 [ 2, 6, 8 ] G = polycyclic group SmallGroup(96,189) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = G.6, G.5^2 = G.6, G.6^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5 * G.6, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5, G.5^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 1, 1 ], [ 1, 1, 2, 0, 1, 1 ]>, true> ] bdata: 11 96 [ 2, 6, 8 ] G = polycyclic group SmallGroup(96,190) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = G.6, G.5^2 = G.6, G.6^2 = Id(G), G.2^G.1 = G.2 * G.6, G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5 * G.6, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5, G.5^G.4 = G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 1, 1 ], [ 1, 1, 2, 0, 1, 0 ]>, true> ] bdata: 11 66 [ 2, 6, 33 ] G = polycyclic group SmallGroup(66,2) GrpPC : G of order 66 = 2 * 3 * 11 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^11 = Id(G), G.3^G.1 = G.3^10 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 5 ], [ 0, 2, 6 ]>, true> ] bdata: 11 80 [ 2, 8, 8 ] G = polycyclic group SmallGroup(80,28) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.5^5 = Id(G), G.5^G.1 = G.5^2, G.5^G.3 = G.5^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 4 ], [ 1, 1, 0, 0, 2 ]>, false> ] bdata: 11 80 [ 2, 8, 8 ] G = polycyclic group SmallGroup(80,29) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = G.4, G.4^2 = Id(G), G.5^5 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2, G.5^G.3 = G.5^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 4 ], [ 1, 1, 0, 0, 2 ]>, false> ] bdata: 11 60 [ 2, 12, 12 ] G = polycyclic group SmallGroup(60,6) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^2, G.4^G.3 = G.4^4 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 1, 0, 1 ], [ 1, 2, 0, 3 ]>, false> ] bdata: 11 48 [ 2, 24, 24 ] G = polycyclic group SmallGroup(48,24) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 1, 0, 1 ], [ 1, 1, 2, 1, 0 ]>, true> ] bdata: 11 48 [ 3, 8, 8 ] G = polycyclic group SmallGroup(48,28) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 2, 1, 1, 0 ], [ 1, 1, 1, 0, 0 ]>, true> ] bdata: 11 48 [ 3, 8, 8 ] G = polycyclic group SmallGroup(48,29) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 2, 1, 1, 0 ], [ 1, 1, 1, 0, 1 ]>, true> ] bdata: 11 80 [ 4, 4, 4 ] G = polycyclic group SmallGroup(80,30) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = Id(G), G.4^2 = Id(G), G.5^5 = Id(G), G.5^G.1 = G.5^2, G.5^G.3 = G.5^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 1, 1, 0, 1 ], [ 1, 0, 1, 1, 2 ]>, false> ] bdata: 11 80 [ 4, 4, 4 ] G = polycyclic group SmallGroup(80,31) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = Id(G), G.4^2 = Id(G), G.5^5 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2, G.5^G.3 = G.5^4 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 1, 1, 0, 1 ], [ 1, 0, 1, 0, 2 ]>, false> ] bdata: 11 60 [ 4, 4, 6 ] G = polycyclic group SmallGroup(60,7) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^3 = Id(G), G.4^5 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.4^3, G.4^G.2 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 0, 1, 2 ], [ 0, 1, 2, 2 ]>, false> ] bdata: 11 48 [ 4, 4, 12 ] G = polycyclic group SmallGroup(48,11) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 2 ], [ 0, 1, 0, 1, 1 ]>, true> ] bdata: 11 48 [ 4, 4, 12 ] G = polycyclic group SmallGroup(48,12) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = G.3, G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 11 48 [ 4, 4, 12 ] G = polycyclic group SmallGroup(48,13) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^2 = G.4, G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 11 44 [ 4, 4, 22 ] G = polycyclic group SmallGroup(44,1) GrpPC : G of order 44 = 2^2 * 11 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^11 = Id(G), G.3^G.1 = G.3^10 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 0, 2 ], [ 0, 1, 9 ]>, true> ] bdata: 11 48 [ 4, 6, 6 ] G = polycyclic group SmallGroup(48,32) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 3 generating vector(s) [ <<[ 0, 0, 1, 0, 0 ], [ 1, 2, 0, 1, 1 ], [ 1, 1, 0, 1, 1 ]>, true>, <<[ 0, 0, 1, 0, 0 ], [ 1, 2, 1, 1, 1 ], [ 1, 1, 0, 0, 0 ]>, true>, <<[ 1, 0, 1, 0, 0 ], [ 0, 1, 1, 1, 1 ], [ 1, 2, 1, 1, 0 ]>, true> ] bdata: 11 40 [ 4, 8, 8 ] G = polycyclic group SmallGroup(40,3) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^2, G.4^G.2 = G.4^4 2 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 0, 2 ], [ 1, 0, 1, 1 ]>, false>, <<[ 0, 1, 0, 0 ], [ 1, 1, 0, 4 ], [ 1, 1, 0, 3 ]>, false> ] bdata: 12 120 [ 2, 4, 15 ] G = polycyclic group SmallGroup(120,38) GrpPC : G of order 120 = 2^3 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^5 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.3^4, G.4^G.1 = G.5, G.4^G.2 = G.5, G.5^G.1 = G.4, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 4, 1, 1 ], [ 0, 2, 1, 0, 1 ]>, true> ] bdata: 12 104 [ 2, 4, 26 ] G = polycyclic group SmallGroup(104,8) GrpPC : G of order 104 = 2^3 * 13 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^13 = Id(G), G.2^G.1 = G.2 * G.3, G.4^G.1 = G.4^12 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 0, 9 ]>, true> ] bdata: 12 96 [ 2, 4, 48 ] G = polycyclic group SmallGroup(96,7) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3 * G.4, G.3^2 = G.4, G.4^2 = G.5, G.5^2 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4 * G.5, G.4^G.1 = G.4 * G.5, G.6^G.1 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 1, 1 ], [ 0, 1, 1, 0, 0, 2 ]>, true> ] bdata: 12 110 [ 2, 5, 10 ] G = polycyclic group SmallGroup(110,1) GrpPC : G of order 110 = 2 * 5 * 11 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^11 = Id(G), G.3^G.1 = G.3^10, G.3^G.2 = G.3^9 2 generating vector(s) [ <<[ 1, 0, 0 ], [ 0, 1, 5 ], [ 1, 4, 3 ]>, false>, <<[ 1, 0, 0 ], [ 0, 3, 1 ], [ 1, 2, 4 ]>, false> ] bdata: 12 84 [ 2, 6, 14 ] G = polycyclic group SmallGroup(84,8) GrpPC : G of order 84 = 2^2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^3 = Id(G), G.4^7 = Id(G), G.3^G.2 = G.3^2, G.4^G.1 = G.4^6 1 generating vector(s) [ <<[ 1, 1, 0, 0 ], [ 1, 0, 1, 2 ], [ 0, 1, 1, 5 ]>, true> ] bdata: 12 80 [ 2, 8, 10 ] G = polycyclic group SmallGroup(80,15) GrpPC : G of order 80 = 2^4 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^2 = G.4, G.4^2 = Id(G), G.5^5 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.5^4 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 2 ], [ 0, 1, 1, 0, 3 ]>, true> ] bdata: 12 60 [ 2, 10, 30 ] G = polycyclic group SmallGroup(60,11) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^5 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 4, 2 ], [ 0, 1, 1, 1 ]>, true> ] bdata: 12 56 [ 2, 14, 28 ] G = polycyclic group SmallGroup(56,9) GrpPC : G of order 56 = 2^3 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^7 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 0, 1, 0, 0 ], [ 1, 0, 6, 1 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 12 60 [ 2, 15, 15 ] G = polycyclic group SmallGroup(60,9) GrpPC : G of order 60 = 2^2 * 3 * 5 PC-Relations: G.1^3 = Id(G), G.2^5 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 0, 1, 0 ], [ 1, 1, 1, 1 ], [ 2, 4, 1, 1 ]>, true> ] bdata: 12 84 [ 3, 3, 14 ] G = polycyclic group SmallGroup(84,11) GrpPC : G of order 84 = 2^2 * 3 * 7 PC-Relations: G.1^3 = Id(G), G.2^2 = Id(G), G.3^2 = Id(G), G.4^7 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3, G.4^G.1 = G.4^2 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 2, 1, 1, 1 ], [ 0, 1, 1, 6 ]>, false> ] bdata: 12 42 [ 3, 14, 14 ] G = polycyclic group SmallGroup(42,3) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^7 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 1 generating vector(s) [ <<[ 0, 0, 1 ], [ 1, 1, 0 ], [ 1, 6, 2 ]>, true> ] bdata: 12 52 [ 4, 4, 13 ] G = polycyclic group SmallGroup(52,1) GrpPC : G of order 52 = 2^2 * 13 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^13 = Id(G), G.3^G.1 = G.3^12 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 3 ], [ 0, 0, 10 ]>, true> ] bdata: 12 52 [ 4, 4, 13 ] G = polycyclic group SmallGroup(52,3) GrpPC : G of order 52 = 2^2 * 13 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^13 = Id(G), G.3^G.1 = G.3^8, G.3^G.2 = G.3^12 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 3 ], [ 0, 0, 10 ]>, false> ] bdata: 12 48 [ 4, 4, 24 ] G = polycyclic group SmallGroup(48,8) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = G.3 * G.4, G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 2 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 12 48 [ 4, 6, 8 ] G = polycyclic group SmallGroup(48,16) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.4, G.2^2 = Id(G), G.3^2 = G.4, G.4^2 = Id(G), G.5^3 = Id(G), G.2^G.1 = G.2 * G.3, G.3^G.1 = G.3 * G.4, G.3^G.2 = G.3 * G.4, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 2 ], [ 1, 1, 1, 1, 2 ]>, true> ] bdata: 12 48 [ 4, 6, 8 ] G = polycyclic group SmallGroup(48,28) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.2^G.1 = G.2^2, G.3^G.1 = G.4, G.3^G.2 = G.4 * G.5, G.4^G.1 = G.3, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 2, 1, 1, 1 ], [ 1, 2, 0, 1, 0 ]>, true> ] bdata: 12 40 [ 4, 10, 10 ] G = polycyclic group SmallGroup(40,10) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = Id(G), G.2^2 = Id(G), G.3^5 = Id(G), G.4^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 1, 1, 0, 1 ], [ 1, 0, 4, 0 ], [ 0, 1, 1, 0 ]>, true> ] bdata: 12 55 [ 5, 5, 5 ] G = polycyclic group SmallGroup(55,1) GrpPC : G of order 55 = 5 * 11 PC-Relations: G.1^5 = Id(G), G.2^11 = Id(G), G.2^G.1 = G.2^4 2 generating vector(s) [ <<[ 1, 0 ], [ 1, 5 ], [ 3, 10 ]>, false>, <<[ 1, 0 ], [ 2, 4 ], [ 2, 2 ]>, false> ] bdata: 12 40 [ 5, 8, 8 ] G = polycyclic group SmallGroup(40,1) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 0, 0, 0, 1 ], [ 1, 0, 0, 2 ], [ 1, 1, 1, 1 ]>, true> ] bdata: 12 40 [ 5, 8, 8 ] G = polycyclic group SmallGroup(40,3) GrpPC : G of order 40 = 2^3 * 5 PC-Relations: G.1^2 = G.2, G.2^2 = G.3, G.3^2 = Id(G), G.4^5 = Id(G), G.4^G.1 = G.4^2, G.4^G.2 = G.4^4 1 generating vector(s) [ <<[ 0, 0, 0, 1 ], [ 1, 0, 0, 2 ], [ 1, 1, 1, 3 ]>, false> ] bdata: 12 42 [ 6, 6, 7 ] G = polycyclic group SmallGroup(42,1) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6, G.3^G.2 = G.3^4 1 generating vector(s) [ <<[ 1, 1, 0 ], [ 1, 2, 6 ], [ 0, 0, 1 ]>, false> ] bdata: 12 42 [ 6, 6, 7 ] G = polycyclic group SmallGroup(42,2) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.2 = G.3^2 1 generating vector(s) [ <<[ 1, 1, 0 ], [ 1, 2, 6 ], [ 0, 0, 1 ]>, false> ] bdata: 12 42 [ 6, 6, 7 ] G = polycyclic group SmallGroup(42,4) GrpPC : G of order 42 = 2 * 3 * 7 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^7 = Id(G), G.3^G.1 = G.3^6 1 generating vector(s) [ <<[ 1, 1, 0 ], [ 1, 2, 6 ], [ 0, 0, 1 ]>, true> ] bdata: 12 36 [ 6, 9, 9 ] G = polycyclic group SmallGroup(36,3) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^3 = G.2, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4 1 generating vector(s) [ <<[ 0, 1, 1, 0 ], [ 1, 0, 1, 1 ], [ 2, 1, 1, 1 ]>, true> ] bdata: 12 30 [ 10, 10, 15 ] G = polycyclic group SmallGroup(30,1) GrpPC : G of order 30 = 2 * 3 * 5 PC-Relations: G.1^2 = Id(G), G.2^5 = Id(G), G.3^3 = Id(G), G.3^G.1 = G.3^2 2 generating vector(s) [ <<[ 1, 1, 0 ], [ 1, 1, 1 ], [ 0, 3, 2 ]>, true>, <<[ 1, 1, 0 ], [ 1, 3, 2 ], [ 0, 1, 1 ]>, true> ] bdata: 13 288 [ 2, 3, 12 ] G = polycyclic group SmallGroup(288,1024) GrpPC : G of order 288 = 2^5 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.6^2 = Id(G), G.7^2 = Id(G), G.3^G.2 = G.3 * G.4, G.4^G.2 = G.3, G.5^G.1 = G.5^2, G.6^G.1 = G.7, G.6^G.5 = G.7, G.7^G.1 = G.6, G.7^G.5 = G.6 * G.7 1 generating vector(s) [ <<[ 1, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 1, 0 ], [ 1, 2, 1, 0, 1, 1, 1 ]>, true> ] bdata: 13 144 [ 2, 4, 12 ] G = polycyclic group SmallGroup(144,115) GrpPC : G of order 144 = 2^4 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = G.4, G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.6^3 = Id(G), G.2^G.1 = G.2 * G.3, G.5^G.1 = G.5^2, G.5^G.2 = G.6, G.5^G.3 = G.5^2, G.6^G.2 = G.5, G.6^G.3 = G.6^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 2, 1 ], [ 0, 1, 1, 1, 1, 2 ]>, true> ] bdata: 13 112 [ 2, 4, 28 ] G = polycyclic group SmallGroup(112,13) GrpPC : G of order 112 = 2^4 * 7 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^2 = Id(G), G.5^7 = Id(G), G.2^G.1 = G.2 * G.4, G.5^G.1 = G.5^6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 6 ], [ 0, 1, 1, 0, 1 ]>, true> ] bdata: 13 104 [ 2, 4, 52 ] G = polycyclic group SmallGroup(104,5) GrpPC : G of order 104 = 2^3 * 13 PC-Relations: G.1^2 = Id(G), G.2^2 = G.3, G.3^2 = Id(G), G.4^13 = Id(G), G.4^G.1 = G.4^12 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 1, 9 ]>, true> ] bdata: 13 90 [ 2, 6, 15 ] G = polycyclic group SmallGroup(90,7) GrpPC : G of order 90 = 2 * 3^2 * 5 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^5 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.4^4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 2, 2, 4 ], [ 0, 1, 1, 1 ]>, true> ] bdata: 13 78 [ 2, 6, 39 ] G = polycyclic group SmallGroup(78,4) GrpPC : G of order 78 = 2 * 3 * 13 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^13 = Id(G), G.3^G.1 = G.3^12 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 1, 5 ], [ 0, 2, 8 ]>, true> ] bdata: 13 72 [ 2, 9, 18 ] G = polycyclic group SmallGroup(72,16) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = G.3, G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 1, 0 ], [ 0, 1, 0, 1, 1 ], [ 1, 2, 2, 1, 1 ]>, true> ] bdata: 13 72 [ 2, 12, 12 ] G = polycyclic group SmallGroup(72,21) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = G.3, G.2^2 = G.3, G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.4^G.2 = G.4^2, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 1, 0, 0, 0 ], [ 0, 1, 1, 2, 2 ], [ 1, 0, 1, 1, 2 ]>, true> ] bdata: 13 72 [ 2, 12, 12 ] G = polycyclic group SmallGroup(72,27) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^2 = G.4, G.3^3 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 1 ], [ 1, 1, 1, 0, 1 ]>, true> ] bdata: 13 144 [ 3, 3, 6 ] G = polycyclic group SmallGroup(144,184) GrpPC : G of order 144 = 2^4 * 3^2 PC-Relations: G.1^3 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.2 = G.3 * G.4, G.4^G.2 = G.3, G.5^G.1 = G.5 * G.6, G.6^G.1 = G.5 1 generating vector(s) [ <<[ 1, 1, 0, 0, 0, 0 ], [ 2, 1, 1, 0, 0, 1 ], [ 0, 1, 1, 1, 0, 1 ]>, true> ] bdata: 13 96 [ 3, 4, 6 ] G = polycyclic group SmallGroup(96,3) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^3 = Id(G), G.2^2 = G.4 * G.5, G.3^2 = G.4, G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.2^G.1 = G.3, G.3^G.1 = G.2 * G.3 * G.5, G.3^G.2 = G.3 * G.6, G.4^G.1 = G.5 * G.6, G.5^G.1 = G.4 * G.5 * G.6 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], [ 2, 1, 1, 0, 0, 0 ]>, true> ] bdata: 13 96 [ 3, 4, 6 ] G = polycyclic group SmallGroup(96,68) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5 * G.6, G.4^2 = G.5, G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4 * G.6, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 1 ], [ 1, 2, 1, 0, 0, 1 ]>, true> ] bdata: 13 96 [ 3, 4, 6 ] G = polycyclic group SmallGroup(96,70) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.1 = G.3 * G.5, G.3^G.2 = G.4, G.4^G.1 = G.4 * G.6, G.4^G.2 = G.3 * G.4, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 1 ], [ 1, 2, 1, 1, 0, 1 ]>, true> ] bdata: 13 96 [ 3, 4, 6 ] G = polycyclic group SmallGroup(96,71) GrpPC : G of order 96 = 2^5 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5 * G.6, G.4^2 = G.5, G.5^2 = Id(G), G.6^2 = Id(G), G.3^G.1 = G.3 * G.5, G.3^G.2 = G.4, G.4^G.1 = G.4 * G.6, G.4^G.2 = G.3 * G.4 * G.6, G.5^G.2 = G.6, G.6^G.2 = G.5 * G.6 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 1 ], [ 1, 2, 1, 0, 1, 1 ]>, false> ] bdata: 13 72 [ 3, 4, 12 ] G = polycyclic group SmallGroup(72,42) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.3^G.1 = G.3^2, G.4^G.1 = G.5, G.4^G.3 = G.5, G.5^G.1 = G.4, G.5^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 1 ], [ 1, 2, 2, 1, 1 ]>, true> ] bdata: 13 72 [ 3, 6, 6 ] G = polycyclic group SmallGroup(72,44) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^3 = Id(G), G.3^G.2 = G.3 * G.4, G.4^G.2 = G.3, G.5^G.1 = G.5^2 1 generating vector(s) [ <<[ 0, 1, 0, 0, 1 ], [ 1, 1, 0, 1, 0 ], [ 1, 1, 1, 0, 2 ]>, true> ] bdata: 13 72 [ 3, 6, 6 ] G = polycyclic group SmallGroup(72,47) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 2 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 0, 1, 0, 1 ], [ 1, 2, 2, 1, 0 ]>, true>, <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 1, 1, 0 ], [ 1, 1, 2, 0, 1 ]>, true> ] bdata: 13 48 [ 3, 12, 12 ] G = polycyclic group SmallGroup(48,31) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 1, 0 ]>, true> ] bdata: 13 48 [ 3, 12, 12 ] G = polycyclic group SmallGroup(48,33) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 0 ], [ 1, 1, 1, 0, 0 ], [ 1, 1, 0, 1, 0 ]>, true> ] bdata: 13 72 [ 4, 4, 6 ] G = polycyclic group SmallGroup(72,45) GrpPC : G of order 72 = 2^3 * 3^2 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.5^3 = Id(G), G.4^G.1 = G.4 * G.5^2, G.4^G.3 = G.4^2, G.5^G.1 = G.4^2 * G.5^2, G.5^G.3 = G.5^2 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 1, 1, 1, 2, 2 ], [ 0, 1, 0, 1, 1 ]>, true> ] bdata: 13 56 [ 4, 4, 14 ] G = polycyclic group SmallGroup(56,6) GrpPC : G of order 56 = 2^3 * 7 PC-Relations: G.1^2 = G.3, G.2^2 = Id(G), G.3^2 = Id(G), G.4^7 = Id(G), G.4^G.1 = G.4^6 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 1, 0, 4 ], [ 0, 1, 1, 3 ]>, true> ] bdata: 13 52 [ 4, 4, 26 ] G = polycyclic group SmallGroup(52,1) GrpPC : G of order 52 = 2^2 * 13 PC-Relations: G.1^2 = G.2, G.2^2 = Id(G), G.3^13 = Id(G), G.3^G.1 = G.3^12 1 generating vector(s) [ <<[ 1, 0, 0 ], [ 1, 0, 6 ], [ 0, 1, 7 ]>, true> ] bdata: 13 48 [ 4, 6, 12 ] G = polycyclic group SmallGroup(48,21) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.5, G.2^2 = Id(G), G.3^3 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.2^G.1 = G.2 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 1 ], [ 1, 1, 1, 0, 0 ]>, true> ] bdata: 13 48 [ 4, 6, 12 ] G = polycyclic group SmallGroup(48,31) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.5^2 = Id(G), G.4^G.2 = G.5, G.5^G.2 = G.4 * G.5 1 generating vector(s) [ <<[ 1, 0, 0, 1, 0 ], [ 0, 1, 1, 1, 0 ], [ 1, 2, 0, 0, 1 ]>, true> ] bdata: 13 48 [ 6, 6, 6 ] G = polycyclic group SmallGroup(48,32) GrpPC : G of order 48 = 2^4 * 3 PC-Relations: G.1^2 = Id(G), G.2^3 = Id(G), G.3^2 = G.5, G.4^2 = G.5, G.5^2 = Id(G), G.3^G.2 = G.4, G.4^G.2 = G.3 * G.4, G.4^G.3 = G.4 * G.5 1 generating vector(s) [ <<[ 0, 1, 0, 0, 1 ], [ 1, 1, 0, 1, 0 ], [ 1, 1, 1, 1, 0 ]>, true> ] bdata: 13 36 [ 6, 12, 12 ] G = polycyclic group SmallGroup(36,6) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^2 = G.3, G.2^3 = Id(G), G.3^2 = Id(G), G.4^3 = Id(G), G.4^G.1 = G.4^2 2 generating vector(s) [ <<[ 0, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 2, 0, 0 ]>, true>, <<[ 0, 1, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 0, 0 ]>, true> ] bdata: 13 36 [ 9, 9, 9 ] G = polycyclic group SmallGroup(36,3) GrpPC : G of order 36 = 2^2 * 3^2 PC-Relations: G.1^3 = G.2, G.2^3 = Id(G), G.3^2 = Id(G), G.4^2 = Id(G), G.3^G.1 = G.4, G.4^G.1 = G.3 * G.4 1 generating vector(s) [ <<[ 1, 0, 0, 0 ], [ 1, 0, 1, 1 ], [ 1, 2, 1, 0 ]>, true> ] ### summary #### total groupBDpairs: 226 total actions: 244 total kaleidoscopic actions: 205 total non kaleidoscopic actions: 39 multiple actions: [ [ 1, 209 ], [ 2, 16 ], [ 3, 1 ] ] groupBDpairs in genus: [ undef, [ 2, 4 ], [ 3, 10 ], [ 4, 12 ], [ 5, 12 ], [ 6, 16 ], [ 7, 12 ], [ 8, 15 ], [ 9, 29 ], [ 10, 40 ], [ 11, 24 ], [ 12, 25 ], [ 13, 27 ] ] actions in genus: [ undef, [ 2, 4 ], [ 3, 10 ], [ 4, 13 ], [ 5, 13 ], [ 6, 16 ], [ 7, 12 ], [ 8, 15 ], [ 9, 32 ], [ 10, 45 ], [ 11, 27 ], [ 12, 28 ], [ 13, 29 ] ] kaleidoscopic actions in genus: [ undef, [ 2, 4 ], [ 3, 9 ], [ 4, 12 ], [ 5, 13 ], [ 6, 15 ], [ 7, 10 ], [ 8, 12 ], [ 9, 30 ], [ 10, 37 ], [ 11, 16 ], [ 12, 19 ], [ 13, 28 ] ] non-kaleidoscopic actions in genus: [ undef, [ 2, 0 ], [ 3, 1 ], [ 4, 1 ], [ 5, 0 ], [ 6, 1 ], [ 7, 2 ], [ 8, 3 ], [ 9, 2 ], [ 10, 8 ], [ 11, 11 ], [ 12, 9 ], [ 13, 1 ] ]