Order = 228501000000000 = 29.34.59.7.13.31.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S6(5) are a, b where a is in class 2A, b is in class 8A, ab has order 9 and abababbabb has order 15.
Standard generators of 2.S6(5) = Sp6(5) are preimages A, B where AB has order 9 and ABB has order 31.
Representations
Representations of S6(5)
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- Permutation representations:
Number of points ID Generators Description Link 3906 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 C 63 a Std Details 0 C 63 b Std Details