Order = 6825840 = 24.3.5.7.17.239.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(239) are a, b where a has order 2, b has order 3 and ab has order 239.
Standard generators of 2.L2(239) are preimages A, B where B has order 3 and AB has order 239.
Representations
Representations of L2(239)
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- Permutation representations:
Number of points ID Generators Description Link 240 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 239 Std Details 0 Z[z119] 240 a Std Details
Representations of 2.L2(239)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z238] 240 a Std Details
Maximal subgroups
Maximal subgroups of L2(239)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 239:119 | Program: Generators |
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| D240 | Program: Generators |
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| D238 | Program: Generators |
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| A5 | Program: Generators |
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| A5 | Program: Generators |
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| S4 | Program: Generators |
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| S4 | Program: Generators |