[3, 8, [2, 2, 2, 2, 2], ""]
[3, 6, [2, 2, 2, 2, 3], "possibly_metacyclic, not_abelian"]
[3, 4, [2, 2, 2, 4, 4], "is_cyclic"]
[3, 3, [3, 3, 3, 3, 3], "is_cyclic"]