[21, 1680, [2, 3, 7], "simple_quotient, not_abelian"]
[21, 960, [2, 3, 8], "not_abelian"]
[21, 720, [2, 3, 9], "not_abelian"]
[21, 600, [2, 3, 10], "not_abelian"]
[21, 528, [2, 3, 11], "simple_quotient, not_abelian"]
[21, 480, [2, 3, 12], "not_abelian"]
[21, 420, [2, 3, 14], "not_abelian"]
[21, 384, [2, 3, 16], "not_abelian"]
[21, 360, [2, 3, 18], "not_abelian"]
[21, 336, [2, 3, 21], "not_abelian"]
[21, 330, [2, 3, 22], "not_abelian"]
[21, 312, [2, 3, 26], "not_abelian"]
[21, 300, [2, 3, 30], "not_abelian"]
[21, 288, [2, 3, 36], "not_abelian"]
[21, 270, [2, 3, 54], "not_abelian"]
[21, 264, [2, 3, 66], "not_abelian"]
[21, 258, [2, 3, 86], "possibly_metacyclic, not_abelian"]
[21, 800, [2, 4, 5], "not_abelian"]
[21, 480, [2, 4, 6], "not_abelian"]
[21, 320, [2, 4, 8], "not_abelian"]
[21, 288, [2, 4, 9], "not_abelian"]
[21, 240, [2, 4, 12], "not_abelian"]
[21, 224, [2, 4, 14], "not_abelian"]
[21, 200, [2, 4, 20], "not_abelian"]
[21, 192, [2, 4, 24], "not_abelian"]
[21, 180, [2, 4, 36], "not_abelian"]
[21, 176, [2, 4, 44], "possibly_metacyclic, not_abelian"]
[21, 168, [2, 4, 84], "possibly_metacyclic, not_abelian"]
[21, 400, [2, 5, 5], "not_abelian"]
[21, 300, [2, 5, 6], "not_abelian"]
[21, 200, [2, 5, 10], "not_abelian"]
[21, 160, [2, 5, 20], "not_abelian"]
[21, 150, [2, 5, 30], "possibly_metacyclic, not_abelian"]
[21, 140, [2, 5, 70], "possibly_metacyclic, not_abelian"]
[21, 240, [2, 6, 6], "not_abelian"]
[21, 210, [2, 6, 7], "not_abelian"]
[21, 192, [2, 6, 8], "not_abelian"]
[21, 180, [2, 6, 9], "not_abelian"]
[21, 156, [2, 6, 13], "not_abelian"]
[21, 150, [2, 6, 15], "not_abelian"]
[21, 144, [2, 6, 18], "not_abelian"]
[21, 132, [2, 6, 33], "not_abelian"]
[21, 126, [2, 6, 63], "possibly_metacyclic, not_abelian"]
[21, 140, [2, 7, 14], "not_abelian"]
[21, 160, [2, 8, 8], "not_abelian"]
[21, 128, [2, 8, 16], "possibly_metacyclic, not_abelian"]
[21, 120, [2, 8, 24], "not_abelian"]
[21, 112, [2, 8, 56], "possibly_metacyclic, not_abelian"]
[21, 144, [2, 9, 9], "not_abelian"]
[21, 126, [2, 9, 14], "possibly_metacyclic, not_abelian"]
[21, 108, [2, 9, 54], "possibly_metacyclic, not_abelian"]
[21, 120, [2, 10, 15], "not_abelian"]
[21, 110, [2, 11, 22], "not_abelian"]
[21, 120, [2, 12, 12], "not_abelian"]
[21, 104, [2, 13, 26], "not_abelian"]
[21, 112, [2, 14, 14], "not_abelian"]
[21, 98, [2, 14, 49], "possibly_metacyclic, not_abelian"]
[21, 96, [2, 16, 48], "possibly_metacyclic, not_abelian"]
[21, 100, [2, 20, 20], "not_abelian"]
[21, 96, [2, 24, 24], "not_abelian"]
[21, 90, [2, 30, 45], "possibly_metacyclic, not_abelian"]
[21, 86, [2, 43, 86], "is_cyclic"]
[21, 88, [2, 44, 44], "possibly_metacyclic"]
[21, 84, [2, 84, 84], "is_cyclic"]
[21, 480, [3, 3, 4], "not_abelian"]
[21, 300, [3, 3, 5], "not_abelian"]
[21, 240, [3, 3, 6], "not_abelian"]
[21, 210, [3, 3, 7], "not_abelian"]
[21, 192, [3, 3, 8], "not_abelian"]
[21, 180, [3, 3, 9], "not_abelian"]
[21, 165, [3, 3, 11], "not_abelian"]
[21, 156, [3, 3, 13], "not_abelian"]
[21, 150, [3, 3, 15], "not_abelian"]
[21, 144, [3, 3, 18], "not_abelian"]
[21, 135, [3, 3, 27], "not_abelian"]
[21, 132, [3, 3, 33], "not_abelian"]
[21, 129, [3, 3, 43], "possibly_metacyclic, not_abelian"]
[21, 126, [3, 3, 63], "not_abelian"]
[21, 240, [3, 4, 4], "not_abelian"]
[21, 120, [3, 4, 12], "not_abelian"]
[21, 150, [3, 5, 5], "not_abelian"]
[21, 90, [3, 5, 45], "not_abelian"]
[21, 120, [3, 6, 6], "not_abelian"]
[21, 96, [3, 6, 12], "not_abelian"]
[21, 90, [3, 6, 18], "not_abelian"]
[21, 84, [3, 6, 42], "not_abelian"]
[21, 105, [3, 7, 7], "not_abelian"]
[21, 84, [3, 7, 21], "not_abelian"]
[21, 96, [3, 8, 8], "not_abelian"]
[21, 90, [3, 9, 9], "not_abelian"]
[21, 72, [3, 12, 36], "not_abelian"]
[21, 78, [3, 13, 13], "not_abelian"]
[21, 75, [3, 15, 15], "not_abelian"]
[21, 72, [3, 18, 18], "not_abelian"]
[21, 66, [3, 22, 66], "is_cyclic"]
[21, 66, [3, 33, 33], "not_abelian"]
[21, 63, [3, 63, 63], "is_cyclic"]
[21, 160, [4, 4, 4], "not_abelian"]
[21, 120, [4, 4, 6], "not_abelian"]
[21, 112, [4, 4, 7], "not_abelian"]
[21, 100, [4, 4, 10], "possibly_metacyclic, not_abelian"]
[21, 96, [4, 4, 12], "not_abelian"]
[21, 88, [4, 4, 22], "possibly_metacyclic, not_abelian"]
[21, 84, [4, 4, 42], "not_abelian"]
[21, 80, [4, 5, 20], "possibly_metacyclic, not_abelian"]
[21, 96, [4, 6, 6], "not_abelian"]
[21, 72, [4, 6, 36], "not_abelian"]
[21, 80, [4, 8, 8], "not_abelian"]
[21, 72, [4, 9, 12], "not_abelian"]
[21, 60, [4, 15, 60], "is_cyclic"]
[21, 64, [4, 16, 16], "possibly_metacyclic"]
[21, 60, [4, 20, 30], "not_abelian"]
[21, 56, [4, 56, 56], "is_cyclic"]
[21, 100, [5, 5, 5], "not_abelian"]
[21, 80, [5, 5, 10], "not_abelian"]
[21, 75, [5, 5, 15], "possibly_metacyclic, not_abelian"]
[21, 70, [5, 5, 35], "not_abelian"]
[21, 60, [5, 10, 30], "not_abelian"]
[21, 60, [5, 12, 20], "possibly_metacyclic, not_abelian"]
[21, 60, [5, 15, 15], "not_abelian"]
[21, 72, [6, 6, 9], "not_abelian"]
[21, 60, [6, 10, 15], "possibly_metacyclic, not_abelian"]
[21, 60, [6, 12, 12], "not_abelian"]
[21, 54, [6, 18, 27], "not_abelian"]
[21, 70, [7, 7, 7], "not_abelian"]
[21, 56, [7, 8, 56], "is_cyclic"]
[21, 63, [7, 9, 9], "possibly_metacyclic, not_abelian"]
[21, 56, [7, 14, 14], "not_abelian"]
[21, 49, [7, 49, 49], "is_cyclic"]
[21, 64, [8, 8, 8], "possibly_metacyclic"]
[21, 56, [8, 8, 28], "not_abelian"]
[21, 48, [8, 48, 48], "is_cyclic"]
[21, 54, [9, 9, 27], "not_abelian"]
[21, 55, [11, 11, 11], "not_abelian"]
[21, 48, [12, 16, 48], "is_cyclic"]
[21, 48, [12, 24, 24], ""]
[21, 52, [13, 13, 13], "not_abelian"]
[21, 45, [15, 45, 45], "is_cyclic"]
[21, 48, [16, 16, 24], "not_abelian"]
[21, 44, [22, 44, 44], "is_cyclic"]
[21, 43, [43, 43, 43], "is_cyclic"]