[10, 36, [2, 2, 2, 2, 2], "not_abelian"]
[10, 24, [2, 2, 2, 2, 4], "not_abelian"]
[10, 20, [2, 2, 2, 2, 10], "possibly_metacyclic, not_abelian"]
[10, 18, [2, 2, 2, 3, 6], "possibly_metacyclic, not_abelian"]
[10, 16, [2, 2, 2, 4, 8], "possibly_metacyclic, not_abelian"]
[10, 14, [2, 2, 2, 7, 14], "is_cyclic"]
[10, 18, [2, 2, 3, 3, 3], ""]
[10, 12, [2, 2, 3, 12, 12], "is_cyclic"]
[10, 12, [2, 2, 4, 6, 12], "is_cyclic"]
[10, 12, [2, 2, 6, 6, 6], "possibly_metacyclic"]
[10, 12, [2, 3, 3, 4, 12], "is_cyclic"]
[10, 12, [2, 3, 3, 6, 6], "possibly_metacyclic"]
[10, 12, [2, 3, 4, 4, 6], "possibly_cyclic, possibly_metacyclic"]
[10, 12, [2, 4, 4, 4, 4], "not_abelian"]
[10, 10, [2, 5, 5, 5, 10], "is_cyclic"]
[10, 12, [3, 3, 3, 3, 6], "not_abelian"]
[10, 12, [3, 3, 3, 4, 4], "possibly_cyclic, possibly_metacyclic"]