C3:C4 SmallGroup(12, 1)

[12 5 2 1]: [f2, f3, f3^2, f1*f3^2, f1*f2*f3^2]
            [3, 4, 8, 10, 12]

[12 7 4 3]: [f1, f2, f3, f1*f2, f1*f3, f3^2, f1*f2*f3]
            [2, 3, 4, 5, 6, 8, 9]

[12 7 6 2]: [f1, f2, f1*f2, f1*f3, f1*f2*f3, f1*f3^2, f1*f2*f3^2]
            [2, 3, 5, 6, 9, 10, 12]

[12 9 8 6]: [f1, f2, f3, f1*f2, f1*f3, f2*f3, f3^2, f1*f2*f3, f2*f3^2]
            [2, 3, 4, 5, 6, 7, 8, 9, 11]