[10, 756, [2, 3, 7], "simple_quotient, not_abelian"]
[10, 432, [2, 3, 8], "not_abelian"]
[10, 324, [2, 3, 9], "not_abelian"]
[10, 270, [2, 3, 10], "not_abelian"]
[10, 216, [2, 3, 12], "not_abelian"]
[10, 180, [2, 3, 15], "not_abelian"]
[10, 162, [2, 3, 18], "not_abelian"]
[10, 144, [2, 3, 24], "not_abelian"]
[10, 132, [2, 3, 33], "not_abelian"]
[10, 126, [2, 3, 42], "possibly_metacyclic, not_abelian"]
[10, 360, [2, 4, 5], "not_abelian"]
[10, 216, [2, 4, 6], "not_abelian"]
[10, 168, [2, 4, 7], "not_abelian"]
[10, 144, [2, 4, 8], "not_abelian"]
[10, 120, [2, 4, 10], "not_abelian"]
[10, 108, [2, 4, 12], "not_abelian"]
[10, 96, [2, 4, 16], "not_abelian"]
[10, 88, [2, 4, 22], "possibly_metacyclic, not_abelian"]
[10, 84, [2, 4, 28], "not_abelian"]
[10, 80, [2, 4, 40], "possibly_metacyclic, not_abelian"]
[10, 180, [2, 5, 5], "not_abelian"]
[10, 90, [2, 5, 10], "not_abelian"]
[10, 108, [2, 6, 6], "not_abelian"]
[10, 72, [2, 6, 12], "possibly_metacyclic, not_abelian"]
[10, 60, [2, 6, 30], "possibly_metacyclic, not_abelian"]
[10, 84, [2, 7, 7], "not_abelian"]
[10, 70, [2, 7, 10], "possibly_metacyclic, not_abelian"]
[10, 56, [2, 7, 28], "possibly_metacyclic, not_abelian"]
[10, 72, [2, 8, 8], "not_abelian"]
[10, 54, [2, 9, 18], "not_abelian"]
[10, 60, [2, 10, 10], "not_abelian"]
[10, 50, [2, 10, 25], "possibly_metacyclic, not_abelian"]
[10, 48, [2, 12, 24], "possibly_metacyclic, not_abelian"]
[10, 48, [2, 16, 16], "not_abelian"]
[10, 42, [2, 21, 42], "is_cyclic"]
[10, 44, [2, 22, 22], "possibly_metacyclic"]
[10, 40, [2, 40, 40], "is_cyclic"]
[10, 216, [3, 3, 4], "not_abelian"]
[10, 135, [3, 3, 5], "not_abelian"]
[10, 108, [3, 3, 6], "not_abelian"]
[10, 81, [3, 3, 9], "possibly_metacyclic, not_abelian"]
[10, 72, [3, 3, 12], "not_abelian"]
[10, 63, [3, 3, 21], "possibly_metacyclic, not_abelian"]
[10, 60, [3, 3, 30], "not_abelian"]
[10, 108, [3, 4, 4], "not_abelian"]
[10, 72, [3, 4, 6], "not_abelian"]
[10, 48, [3, 4, 24], "not_abelian"]
[10, 60, [3, 5, 6], "not_abelian"]
[10, 45, [3, 5, 15], "possibly_metacyclic, not_abelian"]
[10, 54, [3, 6, 6], "not_abelian"]
[10, 48, [3, 6, 8], "possibly_metacyclic, not_abelian"]
[10, 42, [3, 6, 14], "possibly_metacyclic, not_abelian"]
[10, 36, [3, 9, 18], "not_abelian"]
[10, 33, [3, 11, 33], "is_cyclic"]
[10, 36, [3, 12, 12], "possibly_metacyclic"]
[10, 30, [3, 30, 30], "is_cyclic"]
[10, 72, [4, 4, 4], "not_abelian"]
[10, 60, [4, 4, 5], "not_abelian"]
[10, 48, [4, 4, 8], "not_abelian"]
[10, 44, [4, 4, 11], "possibly_metacyclic, not_abelian"]
[10, 40, [4, 4, 20], "not_abelian"]
[10, 40, [4, 5, 10], "possibly_metacyclic, not_abelian"]
[10, 36, [4, 6, 12], "possibly_metacyclic, not_abelian"]
[10, 32, [4, 8, 16], "possibly_metacyclic, not_abelian"]
[10, 28, [4, 14, 28], "is_cyclic"]
[10, 45, [5, 5, 5], "not_abelian"]
[10, 30, [5, 6, 30], "is_cyclic"]
[10, 35, [5, 7, 7], "possibly_metacyclic, not_abelian"]
[10, 30, [5, 10, 10], "not_abelian"]
[10, 25, [5, 25, 25], "is_cyclic"]
[10, 36, [6, 6, 6], "possibly_metacyclic"]
[10, 30, [6, 6, 15], "not_abelian"]
[10, 24, [6, 24, 24], "is_cyclic"]
[10, 28, [7, 7, 14], "not_abelian"]
[10, 24, [8, 12, 24], "is_cyclic"]
[10, 27, [9, 9, 9], ""]
[10, 22, [11, 22, 22], "is_cyclic"]
[10, 24, [12, 12, 12], ""]
[10, 21, [21, 21, 21], "is_cyclic"]