Order = 6324552 =
23.32.13.29.233.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(233) are a, b where a has order 2, b has order 3 and ab has order 233.
Standard generators of 2.L2(233) are preimages A, B where B has order 3 and AB has order 233.
Representations
Representations of L2(233)
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- Permutation representations:
Number of points ID Generators Description Link 234 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 233 Std Details 0 Z[z116] 234 a Std Details
Representations of 2.L2(233)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z232] 234 a Std Details
Maximal subgroups
Maximal subgroups of L2(233)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 233:116 | Program: Generators |
||
| D234 | Program: Generators |
||
| D232 | Program: Generators |
||
| S4 | Program: Generators |
||
| S4 | Program: Generators |