D34 SmallGroup(34, 1)

[34 17 16 8]: [f2, f1*f2, f2^2, f1*f2^2, f2^4, f1*f2^6, f2^8, f1*f2^8, f2^9, f1*f2^9, f1*f2^10, f1*f2^11, f1*f2^12, f2^13, f1*f2^14, f2^15, f2^16]
              [3, 4, 5, 6, 9, 14, 17, 18, 19, 20, 22, 24, 26, 27, 30, 31, 33]

[34 21 14 12]: [f2, f1*f2, f1*f2^2, f2^3, f1*f2^3, f1*f2^4, f2^5, f1*f2^5, f2^6, f1*f2^6, f1*f2^7, f2^8, f1*f2^8, f2^9, f2^11, f1*f2^11, f2^12, f1*f2^12, f1*f2^13, f2^14, f2^16]
               [3, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 23, 24, 25, 26, 28, 29, 33]