Order = 5544672 = 25.3.7.37.223.
Mult = 2.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L2(223) are a, b where a has order 2, b has order 3 and ab has order 223.
Standard generators of 2.L2(223) are preimages A, B where B has order 3 and AB has order 223.
Representations
Representations of L2(223)
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 224 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 223 Std Details 0 Z[z111] 224 a Std Details
Representations of 2.L2(223)
- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z[z222] 224 a Std Details
Maximal subgroups
Maximal subgroups of L2(223)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 223:111 | Program: Generators |
||
| D224 | Program: Generators |
||
| D222 | Program: Generators |
||
| S4 | Program: Generators |
||
| S4 | Program: Generators |