Order = 47377612800 =
216.35.52.7.17.
Mult = 1.
Out = 1.
Porting notes
Porting incomplete.Standard generators
Standard generators of S8(2) are a, b where a is in class 2B, b is in class 5B, ab has order 17 and abb has order 21.
Representations
Representations of S8(2)
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- Permutation representations:
Number of points ID Generators Description Link 120 Std Details 136 Std Details 240 Std Details 255 Std Details 272 Std Details 2295 Std Details 5355 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 35 Std Details 0 Z 51 Std Details 0 Z 85 Std Details 0 Z 119 Std Details 0 Z 135 Std Details Char Ring Dimension ID Generators Description Link 2 GF(2) 8 Std Details 2 GF(2) 16 Std Details 2 GF(2) 26 Std Details 2 GF(2) 48 Std Details Char Ring Dimension ID Generators Description Link 3 GF(3) 35 Std Details 3 GF(3) 50 Std Details Char Ring Dimension ID Generators Description Link 5 GF(5) 35 Std Details 5 GF(5) 51 Std Details Char Ring Dimension ID Generators Description Link 7 GF(7) 35 Std Details 7 GF(7) 51 Std Details Char Ring Dimension ID Generators Description Link 17 GF(17) 35 Std Details 17 GF(17) 51 Std Details