[21, 16, [2, 2, 2, 2, 2, 2, 2, 2, 2], ""]
[21, 14, [2, 2, 2, 2, 2, 2, 2, 2, 7], "possibly_metacyclic, not_abelian"]
[21, 12, [2, 2, 2, 2, 2, 2, 3, 4, 12], "is_cyclic"]
[21, 12, [2, 2, 2, 2, 2, 2, 3, 6, 6], "possibly_metacyclic"]
[21, 12, [2, 2, 2, 2, 2, 2, 4, 4, 6], "possibly_metacyclic, not_abelian"]
[21, 12, [2, 2, 2, 2, 2, 3, 3, 3, 6], "possibly_metacyclic"]
[21, 12, [2, 2, 2, 2, 2, 3, 3, 4, 4], "possibly_cyclic, possibly_metacyclic"]
[21, 12, [2, 2, 2, 2, 3, 3, 3, 3, 3], ""]
[21, 8, [4, 4, 4, 4, 4, 4, 4, 8, 8], "is_cyclic"]
[21, 7, [7, 7, 7, 7, 7, 7, 7, 7, 7], "is_cyclic"]