Order = 1024128 = 27.32.7.127.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(127) are a, b where a has order 2, b has order 3 and ab has order 127.
Standard generators of 2.L2(127) are preimages A, B where B has order 3 and AB has order 127.
Representations
Representations of L2(127)
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- Permutation representations:
Number of points ID Generators Description Link 128 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 127 Std Details 0 A 128 a Std Details
Representations of 2.L2(127)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 A 128 a Std Details
Maximal subgroups
Maximal subgroups of L2(127)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 127:63 | Program: Generators | ||
| D128 | Program: Generators | ||
| D126 | Program: Generators | ||
| S4 | Program: Generators | ||
| S4 | Program: Generators |