[4, 144, [2, 3, 8], "not_abelian"]
[4, 108, [2, 3, 9], "not_abelian"]
[4, 90, [2, 3, 10], "not_abelian"]
[4, 72, [2, 3, 12], "not_abelian"]
[4, 60, [2, 3, 15], "not_abelian"]
[4, 54, [2, 3, 18], "possibly_metacyclic, not_abelian"]
[4, 120, [2, 4, 5], "not_abelian"]
[4, 72, [2, 4, 6], "not_abelian"]
[4, 48, [2, 4, 8], "not_abelian"]
[4, 40, [2, 4, 10], "possibly_metacyclic, not_abelian"]
[4, 36, [2, 4, 12], "not_abelian"]
[4, 32, [2, 4, 16], "possibly_metacyclic, not_abelian"]
[4, 60, [2, 5, 5], "not_abelian"]
[4, 30, [2, 5, 10], "not_abelian"]
[4, 36, [2, 6, 6], "possibly_metacyclic, not_abelian"]
[4, 24, [2, 6, 12], "possibly_metacyclic, not_abelian"]
[4, 24, [2, 8, 8], "not_abelian"]
[4, 18, [2, 9, 18], "is_cyclic"]
[4, 20, [2, 10, 10], "possibly_metacyclic"]
[4, 16, [2, 16, 16], "is_cyclic"]
[4, 72, [3, 3, 4], "not_abelian"]
[4, 45, [3, 3, 5], "not_abelian"]
[4, 36, [3, 3, 6], "possibly_metacyclic, not_abelian"]
[4, 27, [3, 3, 9], "possibly_metacyclic, not_abelian"]
[4, 24, [3, 3, 12], "not_abelian"]
[4, 36, [3, 4, 4], "not_abelian"]
[4, 24, [3, 4, 6], "possibly_metacyclic, not_abelian"]
[4, 15, [3, 5, 15], "is_cyclic"]
[4, 18, [3, 6, 6], "possibly_metacyclic"]
[4, 12, [3, 12, 12], "is_cyclic"]
[4, 24, [4, 4, 4], "not_abelian"]
[4, 20, [4, 4, 5], "possibly_metacyclic, not_abelian"]
[4, 16, [4, 4, 8], "possibly_metacyclic, not_abelian"]
[4, 12, [4, 6, 12], "is_cyclic"]
[4, 15, [5, 5, 5], "not_abelian"]
[4, 10, [5, 10, 10], "is_cyclic"]
[4, 12, [6, 6, 6], ""]
[4, 9, [9, 9, 9], "is_cyclic"]