Order = 721392 = 24.3.7.19.113.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(113) are a, b where a has order 2, b has order 3 and ab has order 113.
Standard generators of 2.L2(113) are preimages A, B where B has order 3 and AB has order 113.
Representations
Representations of L2(113)
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- Permutation representations:
Number of points ID Generators Description Link 114 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 113 Std Details 0 Z[z56] 114 a Std Details
Representations of 2.L2(113)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z112] 114 a Std Details
Maximal subgroups
Maximal subgroups of L2(113)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 113:56 | Program: Generators | ||
| D114 | Program: Generators | ||
| D112 | Program: Generators | ||
| S4 | Program: Generators | ||
| S4 | Program: Generators |