ATLAS: Symplectic group S8(2)

Order = 47377612800 =
Mult = 1.
Out = 1.

Standard generators

Standard generators of S8(2) are a and b where a is in class 2B, b is in class 5B, ab has order 17 and abb has order 21.


A presentation for S8(2) on its standard generators is given below.

< a, b | a2 = b5 = (ab)17 = [a, b]3 = [a, b2]4 = [a, bab]3 = [a, b2abab2]2 = [a, b2ab2]3 = [a, (ab2)4]2 = [a, babab]3 = (ababab2ab-1ab-2)4 = 1 >.


The representations of S8(2) available are:

Maximal subgroups

Main ATLAS page Go to main ATLAS (version 2.0) page.
Classical groups page Go to classical groups page.
Old S8(2) page Go to old S8(2) page - ATLAS version 1.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 created on 7th June 2000.
Last updated 03.03.04 by SJN.
Information checked to Level 0 on 07.06.00 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.