Order = 12860654400 =
26.32.52.114.61.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S4(11) are a, b where a is in class 2B, b has order 3 (necessarily in class 3B), ab has order 61 and ababb has order 10.
Representations
Representations of S4(11)
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- Permutation representations:
Number of points ID Generators Description Link 1464 a Std Details 1464 b Std Details 2928 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 C 61 a Std Details 0 C 61 b Std Details 0 Z 122 Std Details
Representations of 2.S4(11)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 11 GF(11) 4 Details