Order = 65784756654489600 =
214.316.52.7.13.41.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S8(3) are a, b where a is in class 2B, b is in class 4D and ab has order 14.
Standard generators of 2.S8(3) = Sp8(3) are preimages A, B where AB3(AB)4 has order 9.
Representations
Representations of S8(3)
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- Permutation representations:
Number of points ID Generators Description Link 3280 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Q(ω) 41 a Std Details 0 Q(ω) 41 b Std Details