Order = 562000363888803840000 =
218.39.54.73.112.13.17.19.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A22 are a, b where a is in class 3A, b has order 21 (necessarily a 21-cycle), ab has order 20 and [a,b] has order 2.
Standard generators of S22 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 21 (necessarily a 21-cycle) and cd has order 22.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A22 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A22
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 22 Std Details 231 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 21 Std Details 0 Z 209 Std Details 0 Z 210 Std Details