Order = 3822588 =
22.32.72.11.197.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(197) are a, b where a has order 2, b has order 3 and ab has order 197.
Standard generators of 2.L2(197) are preimages A, B where B has order 3 and AB has order 197.
Representations
Representations of L2(197)
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- Permutation representations:
Number of points ID Generators Description Link 198 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 197 Std Details 0 Z[z98] 198 a Std Details
Representations of 2.L2(197)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z196] 198 a Std Details
Maximal subgroups
Maximal subgroups of L2(197)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
197:98 | Program: Generators |
||
D198 | Program: Generators |
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D196 | Program: Generators |
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A4 | Program: Generators |