Order = 647460 = 2^{2}.3^{3}.5.11.109.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L_{2}(109) are a, b where a has order 2, b has order 3 and ab has order 109.
Standard generators of 2.L_{2}(109) are preimages A, B where B has order 3 and AB has order 109.
Representations
Representations of L_{2}(109)
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- Permutation representations:
Number of points ID Generators Description Link 110 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 109 Std Details 0 Z[z_{54}] 110 a Std Details
Representations of 2.L_{2}(109)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z_{108}] 110 a Std Details
Maximal subgroups
Maximal subgroups of L_{2}(109)
Subgroup | Order | Index | Programs/reps |
---|---|---|---|
109:54 | Program: Generators | ||
D_{110} | Program: Generators | ||
D_{108} | Program: Generators | ||
A_{5} | Program: Generators | ||
A_{5} | Program: Generators |