Order = 68518981440 = 26.32.5.72.134.17.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S4(13) are a, b where a is in class 2B, b has order 3 (necessarily in class 3B), ab has order 85 and ababb has order 14.
Representations
Representations of S4(13)
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- Permutation representations:
Number of points ID Generators Description Link 2380 a Std Details 2380 b Std Details 4760 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 170 Std Details
Representations of 2.S4(13)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 13 GF(13) 4 Details