[8, 28, [2, 2, 2, 2, 2], "not_abelian"]
[8, 16, [2, 2, 2, 2, 8], "possibly_metacyclic, not_abelian"]
[8, 12, [2, 2, 2, 6, 6], "possibly_metacyclic"]
[8, 12, [2, 2, 3, 3, 6], "possibly_metacyclic"]
[8, 12, [2, 2, 3, 4, 4], "possibly_metacyclic, not_abelian"]
[8, 10, [2, 2, 5, 5, 5], "possibly_cyclic, possibly_metacyclic"]
[8, 12, [2, 3, 3, 3, 3], "not_abelian"]
[8, 8, [2, 4, 4, 8, 8], "is_cyclic"]
[8, 8, [4, 4, 4, 4, 4], ""]