C13:C3 SmallGroup(39, 1)

[39 22 13 11]: [f1, f1^2, f1*f2, f2^2, f1*f2^2, f2^3, f1^2*f2^2, f1^2*f2^3, f1*f2^4, f1^2*f2^4, f1*f2^5, f1^2*f2^5, f1^2*f2^6, f1*f2^7, f1^2*f2^7, f1*f2^8, f1^2*f2^8, f1*f2^9, f2^10, f2^11, f1^2*f2^10, f1*f2^11]
               [2, 4, 5, 6, 8, 9, 10, 13, 14, 16, 17, 19, 22, 23, 25, 26, 28, 29, 30, 33, 34, 35]