C2xSL(2,3) SmallGroup(48, 32) [48 11 3 2]: [f1, f5, f1*f5, f2*f5, f1*f2*f3, f1*f2*f4, f2^2*f5, f1*f2*f3*f4, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2^2*f3*f4*f5] [2, 6, 10, 14, 19, 20, 27, 35, 44, 45, 48] [48 13 4 3]: [f1*f5, f2*f3, f2*f4, f1*f2*f3, f2^2*f3, f2^2*f4, f2*f4*f5, f1*f2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5] [10, 12, 13, 19, 25, 26, 30, 35, 40, 42, 45, 47, 48] [48 15 6 4]: [f3, f1*f5, f2*f3, f2*f4, f3*f5, f1*f2*f3, f2^2*f3, f2^2*f4, f2*f4*f5, f1*f2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5] [4, 10, 12, 13, 16, 19, 25, 26, 30, 35, 40, 42, 45, 47, 48] [48 15 6 4]: [f4, f1*f5, f2*f3, f2*f4, f4*f5, f1*f2*f3, f2^2*f3, f2^2*f4, f2*f4*f5, f1*f2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5] [5, 10, 12, 13, 17, 19, 25, 26, 30, 35, 40, 42, 45, 47, 48] [48 15 6 4]: [f1*f3, f1*f5, f2*f3, f2*f4, f1*f2*f3, f1*f3*f5, f2^2*f3, f2^2*f4, f2*f4*f5, f1*f2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5] [8, 10, 12, 13, 19, 23, 25, 26, 30, 35, 40, 42, 45, 47, 48] [48 15 6 4]: [f1*f4, f1*f5, f2*f3, f2*f4, f1*f2*f3, f1*f4*f5, f2^2*f3, f2^2*f4, f2*f4*f5, f1*f2*f3*f4, f2^2*f3*f5, f2*f3*f4*f5, f1*f2^2*f4*f5, f2^2*f3*f4*f5, f1*f2^2*f3*f4*f5] [9, 10, 12, 13, 19, 24, 25, 26, 30, 35, 40, 42, 45, 47, 48] [48 15 6 4]: [f5, f2*f3, f2*f4, f3*f4, f1*f2*f3, f3*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f1*f2*f4*f5, 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] [6, 12, 13, 15, 19, 31, 32, 33, 35, 37, 40, 45, 46, 47, 48] [48 15 6 4]: [f5, f2*f3, f2*f4, f1*f2*f3, f1*f3*f4, f1*f2^2*f3, f1*f2^2*f4, f1*f2*f3*f4, f1*f2*f4*f5, f1*f3*f4*f5, 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] [6, 12, 13, 19, 22, 32, 33, 35, 37, 38, 40, 45, 46, 47, 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 24 22]: [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*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f4, f2^2*f5, f2*f3*f4, f1*f2^2*f5, f1*f2*f3*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, f2^2*f3*f4*f5] [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 34, 36, 38, 40, 41, 42, 43, 44, 47] [48 33 24 22]: [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*f4, f1*f2*f5, f1*f3*f5, f1*f4*f5, f2^2*f4, f2^2*f5, f2*f3*f4, f3*f4*f5, f1*f2^2*f5, f1*f2*f3*f5, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f4, f1*f2^2*f3*f5, f2^2*f3*f4*f5] [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 24, 26, 27, 28, 31, 34, 36, 40, 41, 42, 43, 44, 47] [48 33 32 18]: [f2, f5, f1*f2, f2^2, f2*f3, f2*f4, f2*f5, f1*f2^2, f1*f2*f3, f1*f2*f4, f1*f2*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, 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] [3, 6, 7, 11, 12, 13, 14, 18, 19, 20, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48] [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*f4, f1*f2*f5, f1*f3*f4, f1*f3*f5, f1*f4*f5, f2^2*f4, f2^2*f5, f2*f3*f4, f3*f4*f5, f1*f2^2*f5, f1*f2*f3*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, f2^2*f3*f4*f5] [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 31, 34, 36, 38, 40, 41, 42, 43, 44, 47] [48 37 29 28]: [f3, f4, f5, f1*f2, f1*f3, f1*f4, f2*f3, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, 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, f3*f4*f5, f1*f2^2*f3, f1*f2^2*f4, f1*f2^2*f5, 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*f3*f4*f5, f2^2*f3*f4*f5] [4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47] [48 37 29 28]: [f3, f4, f1*f2, f1*f3, f1*f4, f1*f5, f2*f3, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, 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*f5, 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*f4, 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] [4, 5, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47] [48 37 36 26]: [f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, f2^2, f2*f4, f2*f5, f3*f4, f3*f5, f4*f5, f1*f2^2, 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*f4*f5, f1*f3*f4*f5, f2^2*f3*f5, f2^2*f4*f5, f2*f3*f4*f5, f1*f2^2*f3*f5, f1*f2^2*f4*f5, f1*f2*f3*f4*f5] [3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 44, 45, 46] [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 44 42 40]: [f1, f2, f3, f4, f5, f1*f2, f1*f3, f1*f4, 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, 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] [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]