Order = 150348 = 22.3.11.17.67.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(67) are a, b where a has order 2, b has order 3 and ab has order 67.
Standard generators of 2.L2(67) are preimages A, B where B has order 3 and AB has order 67.
Representations
Representations of L2(67)
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- Permutation representations:
Number of points ID Generators Description Link 68 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 67 Std Details 0 Z[z33] 68 a Std Details
Representations of 2.L2(67)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z66] 68 a Std Details
Maximal subgroups
Maximal subgroups of L2(67)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 67:33 | Program: Generators |
||
| D68 | Program: Generators |
||
| D66 | Program: Generators |
||
| A4 | Program: Generators |