Order = 6004380 = 22.3.5.19.23.229.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(229) are a, b where a has order 2, b has order 3 and ab has order 229.
Standard generators of 2.L2(229) are preimages A, B where B has order 3 and AB has order 229.
Representations
Representations of L2(229)
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- Permutation representations:
Number of points ID Generators Description Link 230 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 229 Std Details 0 Z[z114] 230 a Std Details
Representations of 2.L2(229)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z228] 230 a Std Details
Maximal subgroups
Maximal subgroups of L2(229)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 229:114 | Program: Generators |
||
| D230 | Program: Generators |
||
| D228 | Program: Generators |
||
| A5 | Program: Generators |
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| A5 | Program: Generators |