C3:C8 SmallGroup(24, 1)

[24 13 12 2]: [f1, f3, f1*f2, f1*f3, f1*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f1*f2*f3*f4^2]
              [2, 4, 6, 7, 8, 13, 14, 15, 16, 20, 21, 22, 24]

[24 17 16 10]: [f1, f3, f4, f1*f2, f1*f3, f1*f4, f2*f4, f3*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f2*f3*f4, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f2*f3*f4^2]
               [2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 23]

[24 19 18 14]: [f1, f2, f3, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f2*f3*f4^2, f1*f2*f3*f4^2]
               [2, 3, 4, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24]

[24 21 20 18]: [f1, f3, f4, f1*f2, f1*f3, f1*f4, f2*f4, f3*f4, f4^2, f1*f2*f3, f1*f2*f4, f1*f3*f4, f1*f4^2, f2*f3*f4, f2*f4^2, f3*f4^2, f1*f2*f3*f4, f1*f2*f4^2, f1*f3*f4^2, f2*f3*f4^2, f1*f2*f3*f4^2]
               [2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]