D12 SmallGroup(12, 4)

[12 5 2 1]: [f1, f3, f2*f3, f3^2, f1*f2*f3]
            [2, 4, 7, 8, 9]

[12 7 4 3]: [f3, f1*f2, f1*f3, f2*f3, f3^2, f1*f3^2, f1*f2*f3^2]
            [4, 5, 6, 7, 8, 10, 12]

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

[12 9 8 6]: [f2, f3, f1*f2, f1*f3, f3^2, f1*f2*f3, f1*f3^2, f2*f3^2, f1*f2*f3^2]
            [3, 4, 5, 6, 8, 9, 10, 11, 12]