Order = 270178272 =
25.32.7.133.61.
Mult = 3.
Out = S3.
Porting notes
Porting incomplete.Standard generators
Standard generators of L3(13) are a, b where a has order 2, b has order 3, ab has order 61 and abab2 has order 4.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| L3(13) | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of L3(13)
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 183 a Std Details 183 b Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 182 Std Details 0 Z 183 a Std Details 0 Z[i] 183 b Std Details 0 Z[i] 183 c Std Details 0 Z 366 Std Details