ATLAS: Exceptional group E_{7}(4)
Order = 111131458114940385379597233477884941280664199527155056307251745263504588800000000 =
2^{126}.3^{11}.5^{8}.7^{3}.11.13^{3}.17^{2}.19.29.31.37.41.43.73.109.113.127.241.257.
Mult = 1.
Out = 2.
Standard generators
Standard generators of E_{7}(4) and E_{7}(4):2 are not defined.
Representations
The representations of E_{7}(4) available are:

Dimension 56 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 132 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 248 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 A reducible representation exhibiting the
inclusion in E_{8}(4).
Go to main ATLAS (version 2.0) page.
Go to exceptional groups page.
Go to old E7(4) page  ATLAS version 1.
Anonymous ftp access is also available on
sylow.mat.bham.ac.uk.
Version 2.0 created on 16th April 1999.
Last updated 19.04.99 by JNB.
Information checked to
Level 1 on 19.04.99 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.