ATLAS: Exceptional group G2(5)

Order = 5859000000 =
Mult = 1.
Out = 1.

Standard generators

Standard generators of G2(5) are a and b where a is in class 2A, b is in class 3B, ab has order 7 and ababb has order 15.


The representations of G2(5) available are:

Maximal subgroups

The maximal subgroups of G2(5) are as follows.

Conjugacy classes

A set of generators for the maximal cyclic subgroups can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements.
Main ATLAS page Go to main ATLAS (version 2.0) page.
Exceptional groups page Go to exceptional groups page.
Old G2(5) page Go to old G2(5) page - ATLAS version 1.
ftp access Anonymous ftp access is also available on

Version 2.0 created on 12th May 1999.
Last updated 04.11.02 by RAW.
Information checked to Level 0 on 12.05.99 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.