(C3xC3):C2 SmallGroup(18, 4)

[18 8 4 2]: [f2*f3, f1*f2^2, f1*f2*f3, f1*f3^2, f1*f2^2*f3, f1*f2*f3^2, f2^2*f3^2, f1*f2^2*f3^2]
            [8, 10, 11, 12, 15, 16, 17, 18]

[18 9 6 4]: [f1, f2, f3, f1*f2, f1*f3, f2^2, f3^2, f2^2*f3, f2*f3^2]
            [2, 3, 4, 5, 6, 7, 9, 13, 14]

[18 9 8 4]: [f1, f2, f3, f1*f2, f1*f3, f2^2, f3^2, f1*f2^2, f1*f3^2]
            [2, 3, 4, 5, 6, 7, 9, 10, 12]

[18 13 12 8]: [f1, f2, f3, f1*f2, f1*f3, f2^2, f3^2, f1*f2^2, f1*f3^2, f2^2*f3, f2*f3^2, f1*f2^2*f3, f1*f2*f3^2]
              [2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 16]