Order = 5848428 = 22.3.19.113.227.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(227) are a, b where a has order 2, b has order 3 and ab has order 227.
Standard generators of 2.L2(227) are preimages A, B where B has order 3 and AB has order 227.
Representations
Representations of L2(227)
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- Permutation representations:
Number of points ID Generators Description Link 228 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 227 Std Details 0 Z[z113] 228 a Std Details
Representations of 2.L2(227)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z226] 228 a Std Details
Maximal subgroups
Maximal subgroups of L2(227)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 227:113 | Program: Generators | ||
| D228 | Program: Generators | ||
| D226 | Program: Generators | ||
| A4 | Program: Generators |