Order = 12926008369442488320000 = 218.39.54.73.112.13.17.19.23.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/67/06.Standard generators
Standard generators of A23 are a, b where a is in class 3A, b has order 21 (necessarily a 21-cycle), ab has order 23 and [a,b] has order 2.
Standard generators of S23 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 22 (necessarily a 22-cycle) and cd has order 23.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A23 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A23
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 23 Std Details 253 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 22 Std Details 0 Z 230 Std Details 0 Z 231 Std Details