C11:C5 SmallGroup(55, 1)

[55 22 9 5]: [f2, f1^2, f1^3, f1^2*f2, f2^3, f1^3*f2^2, f1*f2^4, f2^5, f1^2*f2^4, f2^6, f1^2*f2^5, f1*f2^6, f1^4*f2^4, f1^3*f2^5, f2^8, f1*f2^8, f1^2*f2^8, f2^10, f1^3*f2^8, f1^4*f2^9, f1^3*f2^10, f1^4*f2^10]
             [3, 4, 7, 8, 10, 17, 19, 20, 23, 25, 28, 29, 31, 32, 35, 39, 43, 45, 47, 53, 54, 55]