[19, 12, [2, 2, 2, 2, 2, 2, 2, 3, 6], "possibly_metacyclic"]
[19, 12, [2, 2, 2, 2, 2, 2, 2, 4, 4], "not_abelian"]
[19, 12, [2, 2, 2, 2, 2, 2, 3, 3, 3], ""]
[19, 8, [2, 4, 4, 4, 4, 4, 4, 4, 4], "possibly_metacyclic"]
[19, 9, [3, 3, 3, 3, 3, 3, 3, 3, 3], "possibly_metacyclic"]