Order = 3057017889600 = 26.34.52.194.181.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of S4(19) are a, b where a is in class 2B, b has order 3 (necessarily in class 3B), ab has order 181 and ababb has order 6.
Representations
Representations of S4(19)
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- Permutation representations:
Number of points ID Generators Description Link 7240 a Std Details 7240 b Std Details 14480 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 362 Std Details
Representations of 2.S4(19)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 19 GF(19) 4 Details