Order = 1216451004088320000 = 22.214.171.124.126.96.36.199.
Mult = 2.
Out = 2.
Standard generators of A20 are a, b where a is in class 3A, b has order 19, ab has order 18 and [a,b] has order 2.
Standard generators of S20 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 19 and cd has order 20.
Checking generators (semi-presentations)
|A20||〈〈 a, b | some conditions 〉〉||Download|
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 20 Std Details 190 Std Details
- Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 19 Std Details 0 Z 170 Std Details 0 Z 171 Std Details