Order = 194472 = 2^{3}.3^{2}.37.73.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(73) are a, b where a has order 2, b has order 3 and ab has order 73.
Standard generators of 2.L_{2}(73) are preimages A, B where B has order 3 and AB has order 73.
Representations
Representations of L_{2}(73)
- View detailed report.
- 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.L_{2}(73)
- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 0 A 74 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(73)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
73:36 | Program: Generators | ||
D_{74} | Program: Generators | ||
D_{72} | Program: Generators | ||
S_{4} | Program: Generators | ||
S_{4} | Program: Generators |