(C3xC3):C3 SmallGroup(27, 3)

[27 18 12 9]: [f1, f2, f1^2, f1*f2, f1*f3, f2^2, f1^2*f3, f1*f2^2, f1*f2*f3, f1*f3^2, f2^2*f3, f2*f3^2, f1^2*f2^2, f1^2*f2*f3, f1^2*f3^2, f1*f2^2*f3, f1^2*f2^2*f3, f1^2*f2*f3^2]
              [2, 3, 5, 6, 7, 8, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25]

[27 18 12 9]: [f1, f2, f3, f1^2, f1*f2, f1*f3, f2^2, f3^2, f1*f2^2, f1*f2*f3, f2^2*f3, f2*f3^2, f1^2*f2^2, f1^2*f2*f3, f1^2*f3^2, f1*f2^2*f3, f1^2*f2^2*f3, f1^2*f2*f3^2]
              [2, 3, 4, 5, 6, 7, 8, 10, 13, 14, 16, 17, 18, 19, 20, 21, 24, 25]