[21, 240, [2, 2, 2, 3], "not_abelian"]
[21, 160, [2, 2, 2, 4], "not_abelian"]
[21, 120, [2, 2, 2, 6], "not_abelian"]
[21, 112, [2, 2, 2, 7], "not_abelian"]
[21, 100, [2, 2, 2, 10], "possibly_metacyclic, not_abelian"]
[21, 96, [2, 2, 2, 12], "not_abelian"]
[21, 90, [2, 2, 2, 18], "not_abelian"]
[21, 88, [2, 2, 2, 22], "not_abelian"]
[21, 84, [2, 2, 2, 42], "possibly_metacyclic, not_abelian"]
[21, 120, [2, 2, 3, 3], "not_abelian"]
[21, 96, [2, 2, 3, 4], "not_abelian"]
[21, 72, [2, 2, 3, 9], "not_abelian"]
[21, 80, [2, 2, 4, 4], "not_abelian"]
[21, 64, [2, 2, 4, 8], "possibly_metacyclic, not_abelian"]
[21, 60, [2, 2, 4, 12], "not_abelian"]
[21, 56, [2, 2, 4, 28], "possibly_metacyclic, not_abelian"]
[21, 60, [2, 2, 6, 6], "not_abelian"]
[21, 56, [2, 2, 7, 7], "not_abelian"]
[21, 48, [2, 2, 8, 24], "possibly_metacyclic, not_abelian"]
[21, 50, [2, 2, 10, 10], "not_abelian"]
[21, 48, [2, 2, 12, 12], ""]
[21, 44, [2, 2, 22, 22], "possibly_metacyclic"]
[21, 42, [2, 2, 42, 42], "is_cyclic"]
[21, 60, [2, 3, 3, 6], "not_abelian"]
[21, 60, [2, 3, 4, 4], "not_abelian"]
[21, 48, [2, 3, 4, 12], "possibly_metacyclic, not_abelian"]
[21, 48, [2, 3, 6, 6], "not_abelian"]
[21, 42, [2, 3, 6, 21], "possibly_metacyclic, not_abelian"]
[21, 42, [2, 3, 7, 14], "possibly_metacyclic, not_abelian"]
[21, 36, [2, 3, 36, 36], "is_cyclic"]
[21, 48, [2, 4, 4, 6], "not_abelian"]
[21, 44, [2, 4, 4, 11], "possibly_metacyclic, not_abelian"]
[21, 40, [2, 4, 5, 20], "possibly_metacyclic"]
[21, 40, [2, 4, 8, 8], "not_abelian"]
[21, 36, [2, 4, 9, 36], "is_cyclic"]
[21, 36, [2, 4, 12, 18], "possibly_metacyclic, not_abelian"]
[21, 40, [2, 5, 5, 10], "not_abelian"]
[21, 36, [2, 6, 6, 18], "possibly_metacyclic, not_abelian"]
[21, 36, [2, 6, 9, 9], "possibly_metacyclic, not_abelian"]
[21, 32, [2, 8, 16, 16], "possibly_metacyclic"]
[21, 30, [2, 10, 30, 30], "is_cyclic"]
[21, 30, [2, 15, 15, 30], "is_cyclic"]
[21, 60, [3, 3, 3, 3], "not_abelian"]
[21, 48, [3, 3, 3, 6], "not_abelian"]
[21, 45, [3, 3, 3, 9], "not_abelian"]
[21, 42, [3, 3, 3, 21], "not_abelian"]
[21, 48, [3, 3, 4, 4], "not_abelian"]
[21, 36, [3, 3, 6, 18], "possibly_metacyclic, not_abelian"]
[21, 36, [3, 3, 9, 9], "not_abelian"]
[21, 33, [3, 3, 11, 33], "is_cyclic"]
[21, 36, [3, 4, 4, 18], "not_abelian"]
[21, 30, [3, 5, 10, 30], "is_cyclic"]
[21, 30, [3, 5, 15, 15], "not_abelian"]
[21, 30, [3, 6, 10, 15], "possibly_cyclic, possibly_metacyclic"]
[21, 27, [3, 9, 27, 27], "is_cyclic"]
[21, 40, [4, 4, 4, 4], "not_abelian"]
[21, 32, [4, 4, 8, 8], "possibly_metacyclic"]
[21, 28, [4, 4, 28, 28], "is_cyclic"]
[21, 28, [4, 7, 7, 28], "is_cyclic"]
[21, 30, [5, 5, 5, 15], "not_abelian"]
[21, 30, [5, 5, 6, 10], "possibly_metacyclic, not_abelian"]
[21, 30, [6, 6, 6, 6], "not_abelian"]
[21, 24, [6, 12, 24, 24], "is_cyclic"]
[21, 28, [7, 7, 7, 7], "not_abelian"]
[21, 24, [8, 8, 24, 24], "is_cyclic"]
[21, 24, [8, 12, 12, 24], "is_cyclic"]
[21, 24, [12, 12, 12, 12], ""]
[21, 22, [22, 22, 22, 22], "is_cyclic"]