Order = 1004497044480 =
210.34.5.174.29.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S4(17) are a, b where a is in class 2B, b has order 3 (necessarily in class 3B), ab has order 145 and ababb has order 5.
Representations
Representations of S4(17)
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- Permutation representations:
Number of points ID Generators Description Link 5220 a Std Details 5220 b Std Details 10440 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 290 Std Details
Representations of 2.S4(17)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 17 GF(17) 4 Details