Order = 1216451004088320000 = 217.38.54.72.11.13.17.19.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/6/07.Standard generators
Standard generators of A20 are a, b where a is in class 3A, b has order 19, ab has order 18 and [a,b] has order 2.
Standard generators of S20 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 19 and cd has order 20.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A20 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A20
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 20 Std Details 190 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 19 Std Details 0 Z 170 Std Details 0 Z 171 Std Details