Order = 515100 = 22.3.52.17.101.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(101) are a, b where a has order 2, b has order 3 and ab has order 101.
Standard generators of 2.L2(101) are preimages A, B where B has order 3 and AB has order 101.
Representations
Representations of L2(101)
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- Permutation representations:
Number of points ID Generators Description Link 102 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 101 Std Details 0 Z[z50] 102 a Std Details
Representations of 2.L2(101)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z100] 102 a Std Details
Maximal subgroups
Maximal subgroups of L2(101)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 101:50 | Program: Generators |
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| D102 | Program: Generators |
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| D100 | Program: Generators |
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| A5 | Program: Generators |
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| A5 | Program: Generators |