Order = 1216451004088320000 =
Mult = 2.
Out = 2.

Porting notes

Fully copied from version 2. 30/6/07.

Standard generators

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.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
A20 〈〈 a, b | some conditions 〉〉 Download


Representations of A20

Representations of S20