[5, 48, [2, 2, 2, 3], "not_abelian"]
[5, 32, [2, 2, 2, 4], "not_abelian"]
[5, 24, [2, 2, 2, 6], "not_abelian"]
[5, 20, [2, 2, 2, 10], "possibly_metacyclic, not_abelian"]
[5, 24, [2, 2, 3, 3], "not_abelian"]
[5, 16, [2, 2, 4, 4], "possibly_metacyclic"]
[5, 12, [2, 2, 6, 6], "possibly_metacyclic"]
[5, 10, [2, 2, 10, 10], "is_cyclic"]
[5, 12, [2, 3, 3, 6], "possibly_metacyclic, not_abelian"]
[5, 12, [2, 3, 4, 4], "possibly_metacyclic, not_abelian"]
[5, 8, [2, 4, 8, 8], "is_cyclic"]
[5, 12, [3, 3, 3, 3], "not_abelian"]
[5, 8, [4, 4, 4, 4], ""]
[5, 6, [6, 6, 6, 6], "is_cyclic"]