D22 SmallGroup(22, 1)

[22 13 8 6]: [f2, f1*f2, f2^2, f1*f2^2, f2^3, f1*f2^3, f1*f2^4, f2^5, f2^6, f1*f2^6, f2^8, f2^9, f2^10]
             [3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 17, 19, 21]

[22 16 12 10]: [f2, f1*f2, f2^2, f1*f2^2, f2^3, f1*f2^3, f2^4, f2^5, f1*f2^5, f2^6, f1*f2^6, f2^7, f2^8, f1*f2^8, f2^9, f2^10]
               [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21]