ATLAS: Exceptional group E_{6}(4)
Order = 28509570260447546701277873018380921822248960000 = 2^{72}.3^{9}.5^{4}.7^{3}.11.13^{2}.17^{2}.19.31.73.241.257.
Mult = 3.
Out = S_{3} × 2.
Standard generators are not defined for E_{6}(4) or any of its decorations.
The representations of E_{6}(4) available are:

Dimension 78 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
The representations of 3.E_{6}(4) available are:

Dimension 27 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 3.E_{6}(4):2_{g} available are:

Dimension 54 over GF(4):
C and
D (Meataxe),
C and
D (Meataxe binary),
C and
D (GAP).
Go to main ATLAS (version 2.0) page.
Go to exceptional groups page.
Go to old E6(4) page  ATLAS version 1.
Anonymous ftp access is also available.
See here for details.
Version 2.0 created on 19th April 2000.
Last updated 02.06.00 by JNB.
Information checked to
Level 0 on 19.04.00 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.