[13, 144, [2, 2, 2, 3], "not_abelian"]
[13, 96, [2, 2, 2, 4], "not_abelian"]
[13, 80, [2, 2, 2, 5], "not_abelian"]
[13, 72, [2, 2, 2, 6], "not_abelian"]
[13, 64, [2, 2, 2, 8], "possibly_metacyclic, not_abelian"]
[13, 60, [2, 2, 2, 10], "not_abelian"]
[13, 56, [2, 2, 2, 14], "not_abelian"]
[13, 54, [2, 2, 2, 18], "not_abelian"]
[13, 52, [2, 2, 2, 26], "possibly_metacyclic, not_abelian"]
[13, 72, [2, 2, 3, 3], "not_abelian"]
[13, 48, [2, 2, 3, 6], "not_abelian"]
[13, 48, [2, 2, 4, 4], "not_abelian"]
[13, 36, [2, 2, 4, 12], "not_abelian"]
[13, 40, [2, 2, 5, 5], "not_abelian"]
[13, 36, [2, 2, 6, 6], "possibly_metacyclic, not_abelian"]
[13, 32, [2, 2, 8, 8], ""]
[13, 30, [2, 2, 10, 10], "not_abelian"]
[13, 28, [2, 2, 14, 14], "possibly_metacyclic"]
[13, 26, [2, 2, 26, 26], "is_cyclic"]
[13, 48, [2, 3, 3, 3], "not_abelian"]
[13, 36, [2, 3, 3, 6], "possibly_metacyclic, not_abelian"]
[13, 36, [2, 3, 4, 4], "not_abelian"]
[13, 30, [2, 3, 5, 6], "possibly_metacyclic, not_abelian"]
[13, 24, [2, 3, 8, 24], "is_cyclic"]
[13, 24, [2, 3, 12, 12], "possibly_metacyclic"]
[13, 32, [2, 4, 4, 4], ""]
[13, 28, [2, 4, 4, 7], "possibly_metacyclic, not_abelian"]
[13, 24, [2, 4, 6, 12], "possibly_metacyclic"]
[13, 24, [2, 4, 8, 8], "not_abelian"]
[13, 20, [2, 5, 20, 20], "is_cyclic"]
[13, 24, [2, 6, 6, 6], ""]
[13, 20, [2, 10, 10, 10], "possibly_metacyclic"]
[13, 18, [2, 18, 18, 18], "is_cyclic"]
[13, 36, [3, 3, 3, 3], "not_abelian"]
[13, 30, [3, 3, 3, 5], "not_abelian"]
[13, 27, [3, 3, 3, 9], "possibly_metacyclic, not_abelian"]
[13, 24, [3, 3, 4, 12], "not_abelian"]
[13, 24, [3, 3, 6, 6], "not_abelian"]
[13, 21, [3, 3, 7, 21], "is_cyclic"]
[13, 24, [3, 4, 4, 6], "possibly_metacyclic"]
[13, 18, [3, 6, 9, 18], "is_cyclic"]
[13, 18, [3, 9, 9, 9], "not_abelian"]
[13, 24, [4, 4, 4, 4], "not_abelian"]
[13, 20, [4, 4, 5, 10], "possibly_cyclic, possibly_metacyclic"]
[13, 16, [4, 8, 16, 16], "is_cyclic"]
[13, 20, [5, 5, 5, 5], "not_abelian"]
[13, 18, [6, 6, 6, 6], ""]
[13, 16, [8, 8, 8, 8], ""]
[13, 14, [14, 14, 14, 14], "is_cyclic"]