Order = 456288 = 2^{5}.3.7^{2}.97.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(97) are a, b where a has order 2, b has order 3 and ab has order 97.
Standard generators of 2.L_{2}(97) are preimages A, B where B has order 3 and AB has order 97.
Representations
Representations of L_{2}(97)
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- Permutation representations:
Number of points ID Generators Description Link 98 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 97 Std Details 0 Z[z_{48}] 98 a Std Details
Representations of 2.L_{2}(97)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z_{96}] 98 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(97)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
97:48 | Program: Generators | ||
D_{98} | Program: Generators | ||
D_{96} | Program: Generators | ||
S_{4} | Program: Generators | ||
S_{4} | Program: Generators |