Order = 3201186852864000 = 126.96.36.199.11.13.17.
Mult = 2.
Out = 2.
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.
Checking generators (semi-presentations)
|A18||〈〈 a, b | some conditions 〉〉||Download|
- 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