ATLAS: Exceptional group E6(4)
Order = 28509570260447546701277873018380921822248960000 = 272.39.54.73.11.132.172.19.31.73.241.257.
Mult = 3.
Out = S3 × 2.
Standard generators are not defined for E6(4) or any of its decorations.
The representations of E6(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.E6(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.E6(4):2g 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.