Order = 34440 = 23.3.5.7.41.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(41) are a, b where a has order 2, b has order 3 and ab has order 41.
Standard generators of 2.L2(41) are preimages A, B where B has order 3 and AB has order 41.
Representations
Representations of L2(41)
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- Permutation representations:
Number of points ID Generators Description Link 42 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 41 Std Details 0 Z[z20] 42 a Std Details
Representations of 2.L2(41)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z40] 42 a Std Details
Maximal subgroups
Maximal subgroups of L2(41)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 41:20 | Program: Generators | ||
| A5 | Program: Generators | ||
| A5 | Program: Generators | ||
| D42 | Program: Generators | ||
| D40 | Program: Generators | ||
| S4 | Program: Generators | ||
| S4 | Program: Generators |