ATLAS: Exceptional group E6(2)

Order = 214841575522005575270400 =
Mult = 1.
Out = 2.

Standard generators

Standard generators of E6(2) and E6(2):2 are not defined.
At present two sets of generators are in use: the set (a, b) is labelled G1, and the set (x, y) is labelled G0 below.
We may obtain (a conjugate in E6(2):2 of) (a, b) by setting a = ((xyxy2)6)^(y5xy6x2y4) and b = x.


The representations of E6(2) available are:

Maximal subgroups

Taken from:

Peter Kleidman and Robert Wilson,
The maximal subgroups of E6(2) and Aut(E6(2)),
Proc London Math Soc 60 (1990), 266-294.

Main ATLAS page Go to main ATLAS (version 2.0) page.
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Old E6(2) page Go to old E6(2) page - ATLAS version 1.
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Version 2.0 created on 21st April 1999.
Last updated 17.05.00 by JNB.
Information checked to Level 0 on 21.04.99 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.