Order = 987033600 =
212.34.52.7.17.
Mult = 1.
Out = 22.
Porting notes
Porting incomplete.Standard generators
Standard generators of L4(4) are a, b where a is in class 2B, b is in class 4A and ab has order 30.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| L4(4) | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of L4(4)
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 85 a Std Details 85 b Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 84 Std Details 0 Z[ω] 85 a Std Details 0 Z[ω] 85 b Std Details 0 C 189 a Std Details 0 C 189 b Std Details 0 Z 378 Std Details