Order = 562000363888803840000 =
Mult = 2.
Out = 2.

Porting notes

Fully copied from version 2. 30/7/06.

Standard generators

Standard generators of A22 are a, b where a is in class 3A, b has order 21 (necessarily a 21-cycle), ab has order 20 and [a,b] has order 2.

Standard generators of S22 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 21 (necessarily a 21-cycle) and cd has order 22.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
A22 〈〈 a, b | some conditions 〉〉 Download


Representations of A22

Representations of S22