Order = 25545471085854720000 = 217.39.54.73.11.13.17.19.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A21 are a, b where a is in class 3A, b has order 19 and ab has order 21.
Standard generators of S21 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 20 and cd has order 21.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A21 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A21
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 21 Std Details 210 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 20 Std Details 0 Z 189 Std Details 0 Z 190 Std Details