Order = 74412 = 22.33.13.53.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(53) are a, b where a has order 2, b has order 3 and ab has order 53.
Standard generators of 2.L2(53) are preimages A, B where B has order 3 and AB has order 53.
Representations
Representations of L2(53)
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- Permutation representations:
Number of points ID Generators Description Link 54 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 53 Std Details 0 Z[z26] 54 a Std Details
Representations of 2.L2(53)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z52] 54 a Std Details
Maximal subgroups
Maximal subgroups of L2(53)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 53:26 | Program: Generators | ||
| D54 | Program: Generators | ||
| D52 | Program: Generators | ||
| A4 | Program: Generators |