Order = 3201186852864000 = 215.38.53.72.11.13.17.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A18 are a, b where a is in class 3A, b has order 17, ab has order 16 and [a,b] has order 2.
Standard generators of S18 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 17 and cd has order 18.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A18 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A18
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 18 Std Details 153 Std Details 816 Std Details 3060 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 17 Std Details 0 Z 135 Std Details 0 Z 136 Std Details