Order = 60822550204416000 =
215.38.53.72.11.13.17.19.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A19 are a, b where a is in class 3A, b has order 17 and ab has order 19.
Standard generators of S19 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 18 (necessarily an 18-cycle) and cd has order 19.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A19 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A19
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 19 Std Details 171 Std Details 969 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 18 Std Details 0 Z 152 Std Details 0 Z 153 Std Details