ATLAS: Symplectic group S8(3)

Order = 65784756654489600 = 214.316.
Mult = 2.
Out = 2.

The following information is available for S8(3):

Standard generators

Standard generators of S8(3) are a and b where a is in class 2B, b is in class 4D and ab has order 14.
Standard generators of the double cover 2.S8(3) = Sp8(3) are preimages A and B such that AB3(AB)4 has order 9.

Standard generators of S8(3):2 are not defined.
Standard generators of either of the double covers 2.S8(3):2 are not defined.

Black box algorithms

To find standard generators of S8(3):


The representations of S8(3) available are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Classical groups page Go to classical groups page.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 file created on 4th August 2004.
Last updated 4.8.04 by SJN.