Order = 194472 = 23.32.37.73.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(73) are a, b where a has order 2, b has order 3 and ab has order 73.
Standard generators of 2.L2(73) are preimages A, B where B has order 3 and AB has order 73.
Representations
Representations of L2(73)
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- Permutation representations:
Number of points ID Generators Description Link 74 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 73 Std Details 0 A 74 a Std Details
Representations of 2.L2(73)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 A 74 a Std Details
Maximal subgroups
Maximal subgroups of L2(73)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 73:36 | Program: Generators |
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| D74 | Program: Generators |
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| D72 | Program: Generators |
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| S4 | Program: Generators |
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| S4 | Program: Generators |