D26 SmallGroup(26, 1)

[26 13 12 6]: [f2, f1*f2, f1*f2^2, f2^3, f2^4, f1*f2^4, f1*f2^5, f1*f2^6, f1*f2^8, f2^9, f1*f2^9, f2^10, f2^12]
              [3, 4, 6, 7, 9, 10, 12, 14, 18, 19, 20, 21, 25]