[6, 60, [2, 2, 2, 3], "not_abelian"]
[6, 40, [2, 2, 2, 4], "not_abelian"]
[6, 30, [2, 2, 2, 6], "not_abelian"]
[6, 28, [2, 2, 2, 7], "not_abelian"]
[6, 24, [2, 2, 2, 12], "possibly_metacyclic, not_abelian"]
[6, 30, [2, 2, 3, 3], "not_abelian"]
[6, 24, [2, 2, 3, 4], "not_abelian"]
[6, 18, [2, 2, 3, 9], "possibly_metacyclic, not_abelian"]
[6, 20, [2, 2, 4, 4], "not_abelian"]
[6, 16, [2, 2, 4, 8], "possibly_metacyclic, not_abelian"]
[6, 14, [2, 2, 7, 7], "possibly_cyclic, possibly_metacyclic"]
[6, 12, [2, 2, 12, 12], "is_cyclic"]
[6, 12, [2, 3, 4, 12], "is_cyclic"]
[6, 12, [2, 3, 6, 6], "possibly_metacyclic"]
[6, 12, [2, 4, 4, 6], "possibly_metacyclic, not_abelian"]
[6, 10, [2, 5, 5, 10], "is_cyclic"]
[6, 15, [3, 3, 3, 3], "not_abelian"]
[6, 12, [3, 3, 3, 6], "not_abelian"]
[6, 12, [3, 3, 4, 4], "possibly_cyclic, possibly_metacyclic"]
[6, 9, [3, 3, 9, 9], "is_cyclic"]
[6, 8, [4, 4, 8, 8], "is_cyclic"]
[6, 7, [7, 7, 7, 7], "is_cyclic"]