Order = 2588772 = 22.3.29.43.173.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(173) are a, b where a has order 2, b has order 3 and ab has order 173.
Standard generators of 2.L2(173) are preimages A, B where B has order 3 and AB has order 173.
Representations
Representations of L2(173)
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- Permutation representations:
Number of points ID Generators Description Link 174 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 173 Std Details 0 Z[z86] 174 a Std Details
Representations of 2.L2(173)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z172] 174 a Std Details
Maximal subgroups
Maximal subgroups of L2(173)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 173:86 | Program: Generators | ||
| D174 | Program: Generators | ||
| D172 | Program: Generators | ||
| A4 | Program: Generators |