Order = 2328648 = 23.3.7.83.167.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(167) are a, b where a has order 2, b has order 3 and ab has order 167.
Standard generators of 2.L2(167) are preimages A, B where B has order 3 and AB has order 167.
Representations
Representations of L2(167)
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- Permutation representations:
Number of points ID Generators Description Link 168 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 167 Std Details 0 Z[z83] 168 a Std Details
Representations of 2.L2(167)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z166] 168 a Std Details
Maximal subgroups
Maximal subgroups of L2(167)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 167:83 | Program: Generators |
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| D168 | Program: Generators |
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| D166 | Program: Generators |
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| S4 | Program: Generators |
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| S4 | Program: Generators |