(C5xC5):C2 SmallGroup(50, 4)

[50 25 24 12]: [f1, f2, f3, f1*f2, f1*f3, f2^2, f3^2, f1*f2^2, f1*f3^2, f2^3, f3^3, f1*f2^3, f1*f3^3, f2^4, f3^4, f1*f2^4, f1*f3^4, f2^4*f3, f2^3*f3^2, f2^2*f3^3, f2*f3^4, f1*f2^4*f3, f1*f2^3*f3^2, f1*f2^2*f3^3, f1*f2*f3^4]
               [2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 16, 17, 20, 21, 25, 26, 30, 31, 32, 33, 34, 35, 36, 37, 38]

[50 41 40 32]: [f1, f2, f3, f1*f2, f1*f3, f2^2, f3^2, f1*f2^2, f1*f3^2, f2^3, f2^2*f3, f2*f3^2, f3^3, f1*f2^3, f1*f2^2*f3, f1*f2*f3^2, f1*f3^3, f2^4, f2^3*f3, f2*f3^3, f3^4, f1*f2^4, f1*f2^3*f3, f1*f2*f3^3, f1*f3^4, f2^4*f3, f2^3*f3^2, f2^2*f3^3, f2*f3^4, f1*f2^4*f3, f1*f2^3*f3^2, f1*f2^2*f3^3, f1*f2*f3^4, f2^4*f3^2, f2^2*f3^4, f1*f2^4*f3^2, f1*f2^2*f3^4, f2^4*f3^3, f2^3*f3^4, f1*f2^4*f3^3, f1*f2^3*f3^4]
               [2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 44, 45, 46, 47, 48]