ATLAS: Exceptional group E8(2)
Order =
337804753143634806261388190614085595079991692242467651576160959909068800000 =
2120.313.55.74.112.132.172.19.312.41.43.73.127.151.241.331.
Mult = 1.
Out = 1.
Standard generators
Standard generators of E8(2) are not defined.
Representations
The representations of E8(2) available are:
-
Dimension 248 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
-
Dimension 248 over GF(2):
g1,
g2,
g3,
g4,
g5,
g6,
g7,
g8 and
g9 (Meataxe),
g1,
g2,
g3,
g4,
g5,
g6,
g7,
g8 and
g9 (Meataxe binary),
g1,
g2,
g3,
g4,
g5,
g6,
g7,
g8 and
g9 (GAP).
The 9 generators here correspond to the 8 fundamental reflections of the Weyl group together with a root element.
Go to main ATLAS (version 2.0) page.
Go to exceptional groups page.
Go to old E8(2) page - ATLAS version 1.
Anonymous ftp access is also available on
sylow.mat.bham.ac.uk.
Version 2.0 created on 21st April 1999.
Last updated 21.04.99 by JNB.
Information checked to
Level 1 on 21.04.99 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.