ATLAS: Symplectic group S6(5)

Order = 228501000000000 =
Mult = 2.
Out = 2.

The following information is available for S6(5):

Standard generators

Standard generators of S6(5) are a and b where a is in class 2A, b is in class 8A, ab has order 9 and abababbabb has order 15.
Standard generators of the double cover 2.S6(5) = Sp6(5) are preimages A and B such that AB has order 9 and ABB has order 31. (NOTE: extra condition added 7/2/05).

Standard generators of S6(5):2 are not defined.
Standard generators of either of the double covers 2.S6(5):2 are not defined.

Black box algorithms

To find standard generators of S6(5):


The representations of S6(5) 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 7.2.05 by SJN.