D18 SmallGroup(18, 1)

[18 8 4 2]: [f1, f1*f3, f2^2, f1*f3^2, f2*f3^2, f1*f2^2*f3, f1*f2*f3^2, f1*f2^2*f3^2]
            [2, 6, 7, 12, 14, 15, 16, 18]

[18 13 12 8]: [f2, f1*f2, f1*f3, f2^2, f2*f3, f1*f2^2, f1*f2*f3, f2^2*f3, f2*f3^2, f1*f2^2*f3, f1*f2*f3^2, f2^2*f3^2, f1*f2^2*f3^2]
              [3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18]