Order = 51888 = 24.3.23.47.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(47) are a, b where a has order 2, b has order 3 and ab has order 47.
Standard generators of 2.L2(47) are preimages A, B where B has order 3 and AB has order 47.
Representations
Representations of L2(47)
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- Permutation representations:
Number of points ID Generators Description Link 48 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 47 Std Details 0 Z[z23] 48 a Std Details
Representations of 2.L2(47)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z46] 48 a Std Details
Maximal subgroups
Maximal subgroups of L2(47)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 47:23 | Program: Generators | ||
| D48 | Program: Generators | ||
| D46 | Program: Generators | ||
| S4 | Program: Generators | ||
| S4 | Program: Generators |