C12xC2 SmallGroup(24, 9)

[24 8 4 2]: [f3, f4, f1*f2, f2*f4, f3^2, f1*f2*f4, f2*f3*f4, f2*f3^2*f4]
            [4, 5, 6, 10, 11, 14, 18, 23]

[24 8 4 2]: [f2, f4, f1*f2, f3*f4, f1*f2*f4, f2*f3*f4, f3^2*f4, f2*f3^2*f4]
            [3, 5, 6, 12, 14, 18, 19, 23]

[24 8 4 2]: [f2, f4, f1*f2, f1*f3, f1*f2*f3, f1*f2*f4, f1*f3^2*f4, f1*f2*f3^2*f4]
            [3, 5, 6, 7, 13, 14, 22, 24]

[24 13 12 2]: [f1, f2, f4, f1*f3, f1*f4, f2*f3, f2*f4, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f1*f3^2*f4, f2*f3^2*f4]
              [2, 3, 5, 7, 8, 9, 10, 15, 16, 17, 18, 22, 23]

[24 16 12 10]: [f1, f4, f1*f3, f1*f4, f2*f3, f2*f4, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f1*f2*f3^2*f4]
               [2, 5, 7, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21, 22, 24]

[24 16 12 10]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f3^2, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f1*f2*f3^2*f4]
               [2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 20, 21, 22, 24]

[24 16 12 10]: [f1, f2, f3, f4, f1*f4, f2*f3, f3^2, f3*f4, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f2*f3^2*f4]
               [2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 18, 19, 20, 21, 23]

[24 17 16 10]: [f3, f4, f1*f3, f2*f3, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2*f3^2*f4, f1*f2*f3^2*f4]
               [4, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]

[24 19 18 14]: [f1, f2, f4, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f1*f2*f3, f1*f2*f4, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2*f3^2*f4, f1*f2*f3^2*f4]
               [2, 3, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24]

[24 20 18 16]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2*f3^2*f4, f1*f2*f3^2*f4]
               [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]

[24 21 20 18]: [f1, f2, f3, f4, f1*f3, f1*f4, f2*f3, f2*f4, f3^2, f3*f4, f1*f2*f3, f1*f3^2, f1*f3*f4, f2*f3^2, f2*f3*f4, f3^2*f4, f1*f2*f3^2, f1*f2*f3*f4, f1*f3^2*f4, f2*f3^2*f4, f1*f2*f3^2*f4]
               [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]