C28 SmallGroup(28, 2)

[28 9 5 2]: [f1, f2, f3, f1*f3, f2^2, f2^3, f2^4, f2^5, f2^6]
            [2, 3, 4, 6, 7, 11, 15, 19, 23]

[28 15 14 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*f2^6*f3]
              [2, 4, 5, 6, 9, 10, 13, 14, 17, 18, 21, 22, 25, 26, 28]

[28 19 15 12]: [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, f1*f2^6*f3]
               [3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 28]

[28 25 24 22]: [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, f2^6*f3, f1*f2^6*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]