[7, 504, [2, 3, 7], "simple_quotient, not_abelian"]
[7, 288, [2, 3, 8], "not_abelian"]
[7, 216, [2, 3, 9], "not_abelian"]
[7, 180, [2, 3, 10], "not_abelian"]
[7, 144, [2, 3, 12], "possibly_metacyclic, not_abelian"]
[7, 126, [2, 3, 14], "not_abelian"]
[7, 120, [2, 3, 15], "not_abelian"]
[7, 108, [2, 3, 18], "not_abelian"]
[7, 96, [2, 3, 24], "not_abelian"]
[7, 90, [2, 3, 30], "possibly_metacyclic, not_abelian"]
[7, 240, [2, 4, 5], "not_abelian"]
[7, 144, [2, 4, 6], "not_abelian"]
[7, 112, [2, 4, 7], "not_abelian"]
[7, 96, [2, 4, 8], "not_abelian"]
[7, 80, [2, 4, 10], "not_abelian"]
[7, 72, [2, 4, 12], "not_abelian"]
[7, 64, [2, 4, 16], "possibly_metacyclic, not_abelian"]
[7, 60, [2, 4, 20], "not_abelian"]
[7, 56, [2, 4, 28], "possibly_metacyclic, not_abelian"]
[7, 120, [2, 5, 5], "not_abelian"]
[7, 90, [2, 5, 6], "not_abelian"]
[7, 60, [2, 5, 10], "not_abelian"]
[7, 72, [2, 6, 6], "not_abelian"]
[7, 54, [2, 6, 9], "possibly_metacyclic, not_abelian"]
[7, 48, [2, 6, 12], "not_abelian"]
[7, 42, [2, 6, 21], "possibly_metacyclic, not_abelian"]
[7, 56, [2, 7, 7], "not_abelian"]
[7, 42, [2, 7, 14], "not_abelian"]
[7, 48, [2, 8, 8], "not_abelian"]
[7, 36, [2, 9, 18], "possibly_metacyclic, not_abelian"]
[7, 40, [2, 10, 10], "not_abelian"]
[7, 36, [2, 12, 12], "not_abelian"]
[7, 30, [2, 15, 30], "is_cyclic"]
[7, 32, [2, 16, 16], "possibly_metacyclic"]
[7, 28, [2, 28, 28], "is_cyclic"]
[7, 144, [3, 3, 4], "not_abelian"]
[7, 90, [3, 3, 5], "not_abelian"]
[7, 72, [3, 3, 6], "not_abelian"]
[7, 63, [3, 3, 7], "not_abelian"]
[7, 54, [3, 3, 9], "not_abelian"]
[7, 48, [3, 3, 12], "not_abelian"]
[7, 45, [3, 3, 15], "possibly_metacyclic, not_abelian"]
[7, 42, [3, 3, 21], "not_abelian"]
[7, 72, [3, 4, 4], "not_abelian"]
[7, 48, [3, 4, 6], "not_abelian"]
[7, 36, [3, 4, 12], "possibly_metacyclic, not_abelian"]
[7, 45, [3, 5, 5], "not_abelian"]
[7, 30, [3, 5, 15], "not_abelian"]
[7, 36, [3, 6, 6], "possibly_metacyclic, not_abelian"]
[7, 30, [3, 6, 10], "possibly_metacyclic, not_abelian"]
[7, 24, [3, 8, 24], "is_cyclic"]
[7, 27, [3, 9, 9], "possibly_metacyclic"]
[7, 24, [3, 12, 12], "not_abelian"]
[7, 21, [3, 21, 21], "is_cyclic"]
[7, 48, [4, 4, 4], "not_abelian"]
[7, 40, [4, 4, 5], "not_abelian"]
[7, 36, [4, 4, 6], "possibly_metacyclic, not_abelian"]
[7, 32, [4, 4, 8], "possibly_metacyclic, not_abelian"]
[7, 28, [4, 4, 14], "not_abelian"]
[7, 24, [4, 6, 12], "possibly_metacyclic"]
[7, 24, [4, 8, 8], "not_abelian"]
[7, 20, [4, 10, 20], "is_cyclic"]
[7, 30, [5, 5, 5], "not_abelian"]
[7, 20, [5, 10, 10], "not_abelian"]
[7, 24, [6, 6, 6], "not_abelian"]
[7, 18, [6, 9, 18], "is_cyclic"]
[7, 21, [7, 7, 7], "not_abelian"]
[7, 16, [8, 16, 16], "is_cyclic"]
[7, 18, [9, 9, 9], "not_abelian"]
[7, 15, [15, 15, 15], "is_cyclic"]