Order = 212427600 = 24.3.52.7.113.19.
Mult = 1.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of L3(11) are a, b where a has order 3, b is in class 11A, ab has order 120, abb has order 10 and ababb has order 40. Alternatively: a has order 3, b is in class 11A, ab has order 120 and ab5 has order 55.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| L3(11) | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of L3(11)
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 133 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 132 Std Details 0 Z 133 a Std Details 0 C 133 b Std Details 0 C 133 c Std Details 0 C 133 d Std Details 0 C 133 e Std Details 0 C 133 f Std Details 0 C 133 g Std Details 0 C 133 h Std Details 0 C 133 i Std Details 0 Z 532 a Std Details 0 Z 532 b Std Details Char Ring Dimension ID Generators Description Link 2 GF(2) 132 Std Details Char Ring Dimension ID Generators Description Link 3 GF(3) 132 Std Details Char Ring Dimension ID Generators Description Link 5 GF(5) 132 Std Details Char Ring Dimension ID Generators Description Link 7 GF(7) 131 Std Details Char Ring Dimension ID Generators Description Link 11 GF(11) 3 a Std Details Char Ring Dimension ID Generators Description Link 19 GF(19) 131 Std Details