Order = 246480 = 2^{4}.3.5.13.79.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(79) are a, b where a has order 2, b has order 3 and ab has order 79.
Standard generators of 2.L_{2}(79) are preimages A, B where B has order 3 and AB has order 79.
Representations
Representations of L_{2}(79)
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- Permutation representations:
Number of points ID Generators Description Link 80 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 79 Std Details 0 Z[z_{39}] 80 a Std Details
Representations of 2.L_{2}(79)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z_{38}] 80 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(79)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
79:39 | Program: Generators | ||
D_{80} | Program: Generators | ||
D_{78} | Program: Generators | ||
A_{5} | Program: Generators | ||
A_{5} | Program: Generators | ||
S_{4} | Program: Generators | ||
S_{4} | Program: Generators |