C5xS3 SmallGroup(30, 1)

[30 21 20 12]: [f1, f3, f1*f2, f1*f3, f2*f3, f3^2, f1*f2^2, f1*f2*f3, f1*f3^2, f2^2*f3, f2*f3^2, f1*f2^3, f1*f2^2*f3, f2^3*f3, f2^2*f3^2, f1*f2^4, f1*f2^3*f3, f2^4*f3, f2^3*f3^2, f1*f2^4*f3, f2^4*f3^2]
               [2, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 20, 21, 22, 23, 25, 26, 27, 29]

[30 25 24 20]: [f1, f2, f1*f2, f2^2, f2*f3, f1*f2^2, f1*f2*f3, f2^3, f2^2*f3, f2*f3^2, f1*f2^3, f1*f2^2*f3, f1*f2*f3^2, f2^4, f2^3*f3, f2^2*f3^2, f1*f2^4, f1*f2^3*f3, f1*f2^2*f3^2, f2^4*f3, f2^3*f3^2, f1*f2^4*f3, f1*f2^3*f3^2, f2^4*f3^2, f1*f2^4*f3^2]
               [2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]