C2.S4=SL(2,3).C2 SmallGroup(48, 28)

[48 13 4 3]: [f5, f2*f3, f1*f2*f4, f2^2*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f5, f1*f2*f4*f5, f2^2*f3*f4, f2*f3*f4*f5, f1*f2^2*f3*f5, f1*f2*f3*f4*f5, f1*f2^2*f3*f4*f5]
             [6, 12, 20, 26, 32, 33, 36, 37, 39, 42, 44, 46, 48]

[48 25 24 2]: [f1, f5, f1*f2, f1*f3, f1*f4, f1*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2^2*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2*f3*f4*f5, f1*f2^2*f3*f4*f5]
              [2, 6, 7, 8, 9, 10, 18, 19, 20, 21, 22, 23, 24, 32, 33, 34, 35, 36, 37, 38, 43, 44, 45, 46, 48]

[48 33 32 18]: [f1, f2, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2^2, f2*f3, f2*f4, f2*f5, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2^2*f3*f4, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2*f3*f4*f5, f2^2*f3*f4*f5]
               [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 35, 36, 37, 38, 39, 40, 41, 42, 46, 47]

[48 35 26 25]: [f1, f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2^2, f2*f3, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, f1*f2*f3, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f4*f5, f3*f4*f5, f1*f2^2*f5, f1*f2*f3*f4, f1*f3*f4*f5, f2^2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f4*f5]
               [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 34, 35, 38, 39, 40, 42, 43, 45]

[48 37 36 26]: [f1, f2, f3, f4, f5, f1*f3, f1*f4, f1*f5, f2^2, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f3*f4, f2*f4*f5, f3*f4*f5, f1*f2^2*f4, f1*f2^2*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f4*f5, f1*f2*f3*f4*f5, f1*f2^2*f3*f4*f5]
               [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 30, 31, 33, 34, 35, 36, 37, 40, 41, 42, 43, 45, 46, 48]

[48 41 40 34]: [f1, f2, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2^2, f2*f3, f2*f4, f2*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2^2*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2^2*f3*f4, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2*f3*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5]
               [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48]

[48 43 42 38]: [f1, f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2^2, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f3*f4, f2*f4*f5, f3*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2^2*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2*f3*f4*f5, f1*f2^2*f3*f4*f5]
               [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48]

[48 45 44 42]: [f1, f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, f1*f5, f2^2, f2*f3, f2*f4, f2*f5, f3*f5, f4*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f3, f2^2*f4, f2^2*f5, f2*f3*f4, f2*f3*f5, f2*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2^2*f5, f1*f2*f3*f4, f1*f2*f3*f5, f1*f2*f4*f5, f1*f3*f4*f5, f2^2*f3*f4, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2*f3*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5]
               [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48]