Order = 60822550204416000 =
Mult = 2.
Out = 2.

Porting notes

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

Standard generators

Standard generators of A19 are a, b where a is in class 3A, b has order 17 and ab has order 19.

Standard generators of S19 are c, d where c is in the smallest conjugacy class of outer involutions, d has order 18 (necessarily an 18-cycle) and cd has order 19.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
A19 〈〈 a, b | some conditions 〉〉 Download


Representations of A19

Representations of S19