Automorphism Classes of Quadilateral Actions on Sufaces of Genus 8 

 
bdata:  8, 36, [ 2, 2, 2, 9 ] 
G = small group 4 of 14 group(s) of order 36 
GrpPC : G of order 36 = 2^2 * 3^2
PC-Relations:
G.1^2 = Id(G), 
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 
3  generating vector(s)
<<G.2, G.1 * G.2 * G.4^2, G.1 * G.3 * G.4, G.3^2 * G.4^2>, <true, true, true>> 
<<G.1, G.2, G.1 * G.2 * G.3 * G.4, G.3^2>, <true, true, true>> 
<<G.1, G.1 * G.2 * G.3^2, G.2, G.3 * G.4>, <true, true, true>> 

 
bdata:  8, 32, [ 2, 2, 2, 16 ] 
G = small group 18 of 51 group(s) of order 32 
GrpPC : G of order 32 = 2^5
PC-Relations:
G.3^2 = G.4 * G.5, 
G.4^2 = G.5, 
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.4^G.1 = G.4 * G.5, 
G.4^G.2 = G.4 * G.5 
3  generating vector(s)
<<G.5, G.1 * G.4 * G.5, G.2 * G.3 * G.4, G.1 * G.2>, <true, true, true>> 
<<G.2, G.5, G.1 * G.5, G.1 * G.2>, <true, true, true>> 
<<G.2, G.1 * G.4 * G.5, G.5, G.1 * G.2 * G.4 * G.5>, <true, true, true>> 

 
bdata:  8, 42, [ 2, 2, 3, 3 ] 
G = small group 1 of 6 group(s) of order 42 
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.3^2 
16 generating vector(s)
<<G.1, G.1, G.2 * G.3^6, G.2^2 * G.3^4>, <false, false, false>> 
<<G.1, G.1, G.2^2 * G.3^6, G.2 * G.3^2>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2, G.2^2 * G.3^3>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3^6, G.2^2>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3, G.2^2 * G.3^6>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3^5, G.2^2 * G.3^4>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3^3, G.2^2 * G.3^5>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3^2, G.2^2 * G.3^2>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2 * G.3^4, G.2^2 * G.3>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3^6, G.2 * G.3^5>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3^5, G.2>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3^3, G.2 * G.3^4>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2, G.2 * G.3^3>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3^4, G.2 * G.3^2>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3, G.2 * G.3>, <false, false, false>> 
<<G.1, G.1 * G.3^4, G.2^2 * G.3^2, G.2 * G.3^6>, <false, false, false>> 

 
bdata:  8, 30, [ 2, 2, 3, 5 ] 
G = small group 3 of 4 group(s) of order 30 
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.2^G.1 = G.2^2, 
G.3^G.1 = G.3^4 
1  generating vector(s)
<<G.1, G.1 * G.2^2 * G.3^2, G.2, G.3^3>, <true, true, true>> 

 
bdata:  8, 24, [ 2, 2, 3, 12 ] 
G = small group 6 of 15 group(s) of order 24 
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.2^G.1 = G.2 * G.3, 
G.4^G.1 = G.4^2 
2  generating vector(s)
<<G.1, G.1 * G.2 * G.3 * G.4, G.4, G.2 * G.4>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.4^2, G.2 * G.4>, <true, false, true>> 

 
bdata:  8, 24, [ 2, 2, 3, 12 ] 
G = small group 10 of 15 group(s) of order 24 
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)
<<G.2, G.1 * G.4, G.3, G.1 * G.2 * G.3^2 * G.4>, <true, true, true>> 

 
bdata:  8, 24, [ 2, 2, 4, 6 ] 
G = small group 6 of 15 group(s) of order 24 
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.2^G.1 = G.2 * G.3, 
G.4^G.1 = G.4^2 
1  generating vector(s)
<<G.1, G.1 * G.2 * G.3 * G.4, G.2 * G.3, G.3 * G.4^2>, <true, true, true>> 

 
bdata:  8, 24, [ 2, 2, 4, 6 ] 
G = small group 8 of 15 group(s) of order 24 
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 
4  generating vector(s)
<<G.3, G.1 * G.3 * G.4, G.1 * G.2 * G.3, G.2 * G.3 * G.4>, <true, true, true>> 
<<G.2, G.1 * G.3 * G.4, G.1 * G.2 * G.4^2, G.3 * G.4^2>, <true, true, true>> 
<<G.1, G.3, G.1 * G.2 * G.3 * G.4, G.2 * G.4^2>, <true, true, true>> 
<<G.1, G.2 * G.3, G.1 * G.2 * G.3 * G.4, G.3 * G.4^2>, <true, true, true>> 

 
bdata:  8, 20, [ 2, 2, 5, 10 ] 
G = small group 4 of 5 group(s) of order 20 
GrpPC : G of order 20 = 2^2 * 5
PC-Relations:
G.1^2 = Id(G), 
G.2^2 = Id(G), 
G.3^5 = Id(G), 
G.3^G.1 = G.3^4 
4  generating vector(s)
<<G.1, G.1 * G.2 * G.3, G.3, G.2 * G.3^3>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.3^3, G.2 * G.3>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.3^2, G.2 * G.3^2>, <true, false, true>> 
<<G.1, G.1 * G.2, G.3, G.2 * G.3^4>, <true, false, true>> 

 
bdata:  8, 20, [ 2, 2, 5, 10 ] 
G = small group 5 of 5 group(s) of order 20 
GrpPC : G of order 20 = 2^2 * 5
PC-Relations:
G.1^2 = Id(G), 
G.2^2 = Id(G), 
G.3^5 = Id(G) 
1  generating vector(s)
<<G.2, G.1 * G.2, G.3, G.1 * G.3^4>, <true, true, true>> 

 
bdata:  8, 18, [ 2, 2, 9, 9 ] 
G = small group 1 of 5 group(s) of order 18 
GrpPC : G of order 18 = 2 * 3^2
PC-Relations:
G.1^2 = Id(G), 
G.2^3 = G.3, 
G.3^3 = Id(G), 
G.2^G.1 = G.2^2 * G.3^2, 
G.3^G.1 = G.3^2 
6  generating vector(s)
<<G.1, G.1 * G.2 * G.3, G.2, G.2 * G.3>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.2 * G.3, G.2>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.2 * G.3^2, G.2 * G.3^2>, <true, false, true>> 
<<G.1, G.1, G.2, G.2^2 * G.3^2>, <true, false, true>> 
<<G.1, G.1 * G.3^2, G.2, G.2^2>, <true, false, true>> 
<<G.1, G.1 * G.3^2, G.2^2 * G.3^2, G.2 * G.3>, <true, false, true>> 

 
bdata:  8, 18, [ 2, 2, 9, 9 ] 
G = small group 2 of 5 group(s) of order 18 
GrpPC : G of order 18 = 2 * 3^2
PC-Relations:
G.1^2 = Id(G), 
G.2^3 = G.3, 
G.3^3 = Id(G) 
1  generating vector(s)
<<G.1, G.1, G.2, G.2^2 * G.3^2>, <true, true, true>> 

 
bdata:  8, 16, [ 2, 2, 16, 16 ] 
G = small group 1 of 14 group(s) of order 16 
GrpPC : G of order 16 = 2^4
PC-Relations:
G.1^2 = G.2, 
G.2^2 = G.3, 
G.3^2 = G.4 
1  generating vector(s)
<<G.4, G.4, G.1, G.1 * G.2 * G.3 * G.4>, <true, true, true>> 

 
bdata:  8, 24, [ 2, 3, 3, 4 ] 
G = small group 3 of 15 group(s) of order 24 
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)
<<G.4, G.1, G.1^2 * G.3 * G.4, G.3 * G.4>, <true, true, true>> 

 
bdata:  8, 24, [ 2, 3, 3, 4 ] 
G = small group 12 of 15 group(s) of order 24 
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 
8  generating vector(s)
<<G.1, G.2^2 * G.3, G.2 * G.3 * G.4, G.1 * G.4>, <false, false, false>> 
<<G.1, G.2^2 * G.3, G.2^2, G.1 * G.2 * G.3>, <false, true, false>> 
<<G.1, G.2^2 * G.3, G.2^2 * G.4, G.1 * G.2 * G.3 * G.4>, <false, false, false>> 
<<G.1, G.2^2 * G.3, G.2, G.1 * G.3>, <false, false, false>> 
<<G.1, G.2 * G.3 * G.4, G.2 * G.3 * G.4, G.1 * G.2^2 * G.3 * G.4>, <true, true, false>> 
<<G.1, G.2 * G.3 * G.4, G.2^2, G.1 * G.3>, <false, false, false>> 
<<G.1, G.2 * G.3 * G.4, G.2 * G.4, G.1 * G.2^2 * G.4>, <true, false, false>> 
<<G.1, G.2 * G.3 * G.4, G.2^2 * G.3 * G.4, G.1 * G.4>, <false, false, false>> 

 
bdata:  8, 16, [ 2, 4, 4, 8 ] 
G = small group 8 of 14 group(s) of order 16 
GrpPC : G of order 16 = 2^4
PC-Relations:
G.1^2 = G.4, 
G.3^2 = G.4, 
G.2^G.1 = G.2 * G.3, 
G.3^G.1 = G.3 * G.4, 
G.3^G.2 = G.3 * G.4 
4  generating vector(s)
<<G.2, G.3 * G.4, G.1 * G.3 * G.4, G.1 * G.2 * G.4>, <false, true, true>> 
<<G.2, G.3 * G.4, G.1 * G.4, G.1 * G.2 * G.3 * G.4>, <false, true, true>> 
<<G.2, G.1 * G.3 * G.4, G.3 * G.4, G.1 * G.2>, <true, false, true>> 
<<G.2, G.1 * G.3 * G.4, G.3, G.1 * G.2 * G.4>, <true, false, true>> 

 
bdata:  8, 16, [ 2, 4, 4, 8 ] 
G = small group 9 of 14 group(s) of order 16 
GrpPC : G of order 16 = 2^4
PC-Relations:
G.1^2 = G.4, 
G.2^2 = G.4, 
G.3^2 = G.4, 
G.2^G.1 = G.2 * G.3, 
G.3^G.1 = G.3 * G.4, 
G.3^G.2 = G.3 * G.4 
1  generating vector(s)
<<G.4, G.1 * G.3 * G.4, G.2 * G.3 * G.4, G.1 * G.2 * G.3 * G.4>, <true, true, true>> 

 
bdata:  8, 12, [ 2, 6, 12, 12 ] 
G = small group 2 of 5 group(s) of order 12 
GrpPC : G of order 12 = 2^2 * 3
PC-Relations:
G.1^2 = G.3, 
G.2^3 = Id(G), 
G.3^2 = Id(G) 
1  generating vector(s)
<<G.3, G.2 * G.3, G.1 * G.2, G.1 * G.2 * G.3>, <true, true, true>> 

 
bdata:  8, 21, [ 3, 3, 3, 3 ] 
G = small group 1 of 2 group(s) of order 21 
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 
48 generating vector(s)
<<G.1, G.1 * G.2, G.1^2 * G.2^6, G.1^2 * G.2^2>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2 * G.2^5, G.1^2 * G.2^6>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2 * G.2^4, G.1^2 * G.2^3>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2, G.1^2 * G.2^5>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2 * G.2^3, G.1^2>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2 * G.2, G.1^2 * G.2>, <false, false, false>> 
<<G.1, G.1 * G.2, G.1^2 * G.2^2, G.1^2 * G.2^4>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2, G.1^2 * G.2^5>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2^3, G.1^2 * G.2^4>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2^6, G.1^2 * G.2^6>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2^2, G.1^2 * G.2>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2^5, G.1^2 * G.2^3>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1 * G.2^4, G.1^2>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1, G.1^2 * G.2^2>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2^6, G.1 * G.2^4>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2^5, G.1 * G.2^6>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2^4, G.1 * G.2>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2, G.1 * G.2^2>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2^3, G.1 * G.2^3>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2, G.1>, <false, false, false>> 
<<G.1, G.1^2 * G.2^5, G.1^2 * G.2^2, G.1 * G.2^5>, <false, false, false>> 
<<G.1, G.1^2, G.1 * G.2, G.1^2 * G.2^3>, <false, false, false>> 
<<G.1, G.1^2, G.1^2 * G.2^6, G.1 * G.2^2>, <false, false, false>> 
<<G.1, G.1, G.1^2 * G.2^6, G.1^2 * G.2^4>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2, G.1^2 * G.2^2>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2^3, G.1^2 * G.2>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2^6, G.1^2 * G.2^3>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2^2, G.1^2 * G.2^5>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2^5, G.1^2>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1 * G.2^4, G.1^2 * G.2^4>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1, G.1^2 * G.2^6>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2^6, G.1 * G.2>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2^5, G.1 * G.2^3>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2^4, G.1 * G.2^5>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2, G.1 * G.2^6>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2^3, G.1>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2, G.1 * G.2^4>, <false, false, false>> 
<<G.1^2, G.1 * G.2, G.1^2 * G.2^2, G.1 * G.2^2>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2, G.1 * G.2^6>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2^3, G.1 * G.2^2>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2^6, G.1 * G.2^3>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2^2, G.1 * G.2^4>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2^5, G.1 * G.2^5>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1 * G.2^4, G.1>, <false, false, false>> 
<<G.1^2, G.1^2 * G.2^5, G.1, G.1 * G.2>, <false, false, false>> 
<<G.1^2, G.1^2, G.1 * G.2, G.1 * G.2^5>, <false, false, false>> 
<<G.1^2, G.1, G.1 * G.2, G.1^2 * G.2^3>, <false, false, false>> 
<<G.1^2, G.1, G.1^2 * G.2^6, G.1 * G.2^2>, <false, false, false>> 

 
bdata:  8, 15, [ 3, 3, 5, 5 ] 
G = small group 1 of 1 group(s) of order 15 
GrpPC : G of order 15 = 3 * 5
PC-Relations:
G.1^3 = Id(G), 
G.2^5 = Id(G) 
1  generating vector(s)
<<G.1, G.1^2, G.2, G.2^4>, <true, true, true>> 

 
bdata:  8, 12, [ 3, 3, 12, 12 ] 
G = small group 2 of 5 group(s) of order 12 
GrpPC : G of order 12 = 2^2 * 3
PC-Relations:
G.1^2 = G.3, 
G.2^3 = Id(G), 
G.3^2 = Id(G) 
3  generating vector(s)
<<G.2, G.2, G.1 * G.2^2, G.1 * G.2^2 * G.3>, <true, true, true>> 
<<G.2, G.2^2, G.1 * G.2, G.1 * G.2^2 * G.3>, <true, true, true>> 
<<G.2, G.2^2, G.1 * G.2^2, G.1 * G.2 * G.3>, <true, true, true>> 

 
bdata:  8, 12, [ 3, 4, 6, 12 ] 
G = small group 2 of 5 group(s) of order 12 
GrpPC : G of order 12 = 2^2 * 3
PC-Relations:
G.1^2 = G.3, 
G.2^3 = Id(G), 
G.3^2 = Id(G) 
1  generating vector(s)
<<G.2, G.1, G.2 * G.3, G.1 * G.2>, <true, true, true>> 

 
bdata:  8, 12, [ 3, 6, 6, 6 ] 
G = small group 5 of 5 group(s) of order 12 
GrpPC : G of order 12 = 2^2 * 3
PC-Relations:
G.1^2 = Id(G), 
G.2^2 = Id(G), 
G.3^3 = Id(G) 
3  generating vector(s)
<<G.3, G.2 * G.3, G.1 * G.3^2, G.1 * G.2 * G.3^2>, <true, true, true>> 
<<G.3, G.1 * G.3^2, G.2 * G.3, G.1 * G.2 * G.3^2>, <true, true, true>> 
<<G.3, G.1 * G.3^2, G.2 * G.3^2, G.1 * G.2 * G.3>, <true, true, true>> 

 
bdata:  8, 12, [ 4, 4, 6, 6 ] 
G = small group 1 of 5 group(s) of order 12 
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 
2  generating vector(s)
<<G.1, G.1 * G.2, G.2 * G.3, G.2 * G.3^2>, <true, false, true>> 
<<G.1, G.1 * G.2 * G.3, G.2 * G.3, G.2 * G.3>, <true, false, true>> 

 
bdata:  8, 12, [ 4, 4, 6, 6 ] 
G = small group 2 of 5 group(s) of order 12 
GrpPC : G of order 12 = 2^2 * 3
PC-Relations:
G.1^2 = G.3, 
G.2^3 = Id(G), 
G.3^2 = Id(G) 
1  generating vector(s)
<<G.1, G.1 * G.3, G.2 * G.3, G.2^2 * G.3>, <true, true, true>> 

 
bdata:  8, 10, [ 5, 5, 10, 10 ] 
G = small group 2 of 2 group(s) of order 10 
GrpPC : G of order 10 = 2 * 5
PC-Relations:
G.1^2 = Id(G), 
G.2^5 = Id(G) 
13 generating vector(s)
<<G.2, G.2, G.1 * G.2, G.1 * G.2^2>, <true, true, true>> 
<<G.2, G.2, G.1 * G.2^2, G.1 * G.2>, <true, true, true>> 
<<G.2, G.2, G.1 * G.2^4, G.1 * G.2^4>, <true, true, true>> 
<<G.2, G.2^3, G.1 * G.2^2, G.1 * G.2^4>, <true, true, true>> 
<<G.2, G.2^3, G.1 * G.2^3, G.1 * G.2^3>, <true, true, true>> 
<<G.2, G.2^3, G.1 * G.2^4, G.1 * G.2^2>, <true, true, true>> 
<<G.2, G.2^2, G.1 * G.2, G.1 * G.2>, <true, true, true>> 
<<G.2, G.2^2, G.1 * G.2^3, G.1 * G.2^4>, <true, true, true>> 
<<G.2, G.2^2, G.1 * G.2^4, G.1 * G.2^3>, <true, true, true>> 
<<G.2, G.2^4, G.1 * G.2, G.1 * G.2^4>, <true, true, true>> 
<<G.2, G.2^4, G.1 * G.2^2, G.1 * G.2^3>, <true, true, true>> 
<<G.2, G.2^4, G.1 * G.2^3, G.1 * G.2^2>, <true, true, true>> 
<<G.2, G.2^4, G.1 * G.2^4, G.1 * G.2>, <true, true, true>> 

 
bdata:  8,  9, [ 9, 9, 9, 9 ] 
G = small group 1 of 2 group(s) of order 9 
GrpPC : G of order 9 = 3^2
PC-Relations:
G.1^3 = G.2 
27 generating vector(s)
<<G.1, G.1, G.1^2, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1, G.1^2 * G.2, G.1^2>, <true, true, true>> 
<<G.1, G.1, G.1^2 * G.2^2, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1, G.1^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1^2, G.1>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1 * G.2, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1 * G.2^2, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1^2 * G.2, G.1 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2, G.1^2 * G.2^2, G.1 * G.2>, <true, true, true>> 
<<G.1, G.1 * G.2, G.1^2, G.1^2>, <true, true, true>> 
<<G.1, G.1 * G.2, G.1^2 * G.2, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1 * G.2, G.1^2 * G.2^2, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1 * G.2^2, G.1^2, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1 * G.2^2, G.1^2 * G.2, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1 * G.2^2, G.1^2 * G.2^2, G.1^2>, <true, true, true>> 
<<G.1, G.1^2, G.1, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1^2, G.1^2, G.1 * G.2>, <true, true, true>> 
<<G.1, G.1^2, G.1 * G.2, G.1^2>, <true, true, true>> 
<<G.1, G.1^2, G.1 * G.2^2, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2, G.1^2 * G.2, G.1>, <true, true, true>> 
<<G.1, G.1^2, G.1^2 * G.2^2, G.1 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1, G.1^2 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1^2, G.1 * G.2^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1 * G.2, G.1^2 * G.2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1 * G.2^2, G.1^2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1^2 * G.2, G.1 * G.2>, <true, true, true>> 
<<G.1, G.1^2 * G.2^2, G.1^2 * G.2^2, G.1>, <true, true, true>>