Order = 25308 = 2^{2}.3^{2}.19.37.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(37) are a, b where a has order 2, b has order 3 and ab has order 37.
Standard generators of 2.L_{2}(37) are preimages A, B where B has order 3 and AB has order 37.
Representations
Representations of L_{2}(37)
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- Permutation representations:
Number of points ID Generators Description Link 38 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 37 Std Details 0 Z[z_{18}] 38 a Std Details
Representations of 2.L_{2}(37)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z_{36}] 38 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(37)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
37:18 | Program: Generators | ||
D_{38} | Program: Generators | ||
D_{36} | Program: Generators | ||
A_{4} | Program: Generators |