C44 SmallGroup(44, 2)

[44 13 9 2]: [f1, f2, f3, f1*f3, f2^2, f2^3, f2^4, f2^5, f2^6, f2^7, f2^8, f2^9, f2^10]
             [2, 3, 4, 6, 7, 11, 15, 19, 23, 27, 31, 35, 39]

[44 23 22 2]: [f1, f3, f1*f2, f1*f3, f1*f2^2, f1*f2*f3, f1*f2^3, f1*f2^2*f3, f1*f2^4, f1*f2^3*f3, f1*f2^5, f1*f2^4*f3, f1*f2^6, f1*f2^5*f3, f1*f2^7, f1*f2^6*f3, f1*f2^8, f1*f2^7*f3, f1*f2^9, f1*f2^8*f3, f1*f2^10, f1*f2^9*f3, f1*f2^10*f3]
              [2, 4, 5, 6, 9, 10, 13, 14, 17, 18, 21, 22, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 44]

[44 31 27 20]: [f2, f3, f1*f2, f2^2, f1*f2^2, f1*f2*f3, f2^3, f1*f2^3, f1*f2^2*f3, f2^4, f1*f2^4, f1*f2^3*f3, f2^5, f1*f2^5, f1*f2^4*f3, f2^6, f1*f2^6, f1*f2^5*f3, f2^7, f1*f2^7, f1*f2^6*f3, f2^8, f1*f2^8, f1*f2^7*f3, f2^9, f1*f2^9, f1*f2^8*f3, f2^10, f1*f2^10, f1*f2^9*f3, f1*f2^10*f3]
               [3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 44]

[44 41 40 38]: [f2, f3, f1*f2, f2^2, f2*f3, f1*f2^2, f1*f2*f3, f2^3, f2^2*f3, f1*f2^3, f1*f2^2*f3, f2^4, f2^3*f3, f1*f2^4, f1*f2^3*f3, f2^5, f2^4*f3, f1*f2^5, f1*f2^4*f3, f2^6, f2^5*f3, f1*f2^6, f1*f2^5*f3, f2^7, f2^6*f3, f1*f2^7, f1*f2^6*f3, f2^8, f2^7*f3, f1*f2^8, f1*f2^7*f3, f2^9, f2^8*f3, f1*f2^9, f1*f2^8*f3, f2^10, f2^9*f3, f1*f2^10, f1*f2^9*f3, f2^10*f3, f1*f2^10*f3]
               [3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44]