Order = 102660 = 2^{2}.3.5.29.59.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(59) are a, b where a has order 2, b has order 3 and ab has order 59.
Standard generators of 2.L_{2}(59) are A, B where B has order 3 and AB has order 59.
Representations
Representations of L_{2}(59)
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- Permutation representations:
Number of points ID Generators Description Link 60 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 59 Std Details 0 Z[z_{29}] 60 a Std Details
Representations of 2.L_{2}(59)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z_{58}] 60 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(59)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
59:29 | Program: Generators | ||
D_{60} | Program: Generators | ||
A_{5} | Program: Generators | ||
A_{5} | Program: Generators | ||
D_{58} | Program: Generators |