[4, 36, [2, 2, 2, 3], "not_abelian"]
[4, 24, [2, 2, 2, 4], "not_abelian"]
[4, 20, [2, 2, 2, 5], "not_abelian"]
[4, 18, [2, 2, 2, 6], "not_abelian"]
[4, 16, [2, 2, 2, 8], "possibly_metacyclic, not_abelian"]
[4, 18, [2, 2, 3, 3], "not_abelian"]
[4, 12, [2, 2, 3, 6], "possibly_metacyclic"]
[4, 12, [2, 2, 4, 4], "not_abelian"]
[4, 10, [2, 2, 5, 5], "possibly_cyclic, possibly_metacyclic"]
[4, 8, [2, 2, 8, 8], "is_cyclic"]
[4, 12, [2, 3, 3, 3], "not_abelian"]
[4, 8, [2, 4, 4, 4], "possibly_metacyclic"]
[4, 6, [2, 6, 6, 6], "is_cyclic"]
[4, 9, [3, 3, 3, 3], "possibly_metacyclic"]
[4, 6, [3, 3, 6, 6], "is_cyclic"]
[4, 5, [5, 5, 5, 5], "is_cyclic"]