Order = 285852 = 22.3.7.41.83.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(83) are a, b where a has order 2, b has order 3 and ab has order 83.
Standard generators of 2.L2(83) are preimages A, B where B has order 3 and AB has order 83.
Representations
Representations of L2(83)
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- Permutation representations:
Number of points ID Generators Description Link 84 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 83 Std Details 0 Z[z41] 84 a Std Details
Representations of 2.L2(83)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z82] 84 a Std Details
Maximal subgroups
Maximal subgroups of L2(83)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 83:41 | Program: Generators |
||
| D84 | Program: Generators |
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| D82 | Program: Generators |
||
| A4 | Program: Generators |