ATLAS: Exceptional group E_{8}(5)
Order =
212241934165081789939135106539938909320143178249948373703932419194549992287718687106371625640393677
463164945340423628294956870377063751220703125000000000000000000000000000000
=
2^{30}.3^{13}.5^{120}.7^{4}.11^{2}.13^{4}.19.29.31^{4}.41.61.71^{2}.181.313^{2}.449.521^{2}.601^{2}.829.1741.5167.7621.9161.19531.390001.
Mult = 1.
Out = 1.
Standard generators
Standard generators of E_{8}(5) are not defined. The present
generators are a and b where a has order 4,
b has order 78124, ab has order 108507, abb has order
484220 and so on.
Representations
The representations of E_{8}(5) available are:

Dimension 248 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP),
a and b (Magma).
Go to main ATLAS (version 2.0) page.
Go to exceptional groups page.
Go to old E8(5) 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.