ATLAS: Symplectic group S4(5)

Order = 4680000 = 26.32.54.13.
Mult = 2.
Out = 2.

Standard generators

Standard generators of S4(5) are a and b where a is in class 2B, b is in class 3B and ab is in class 13C. The last condition is equivalent to: ab has order 13 and ababb has order 12.
Standard generators of 2.S4(5) are preimages A and B where B has order 3 and AB has order 13.

Standard generators of S4(5):2 are c and d where c is in class 2D, d is in class 3B and cd is in class 26A. The last condition is equivalent to: cd has order 26 and cdcdd has order 10.
Standard generators of either group 2.S4(5):2 are preimages C and D where D has order 3.


Representations

The representations of S4(5) available are: The representations of 2.S4(5) available are: The representations of S4(5):2 available are: The representations of 2.S4(5):2 available are:

Maximal subgroups

The maximal subgroups of S4(5) are as follows. Words in preparation - mostly wrong at the moment!
Main ATLAS page Go to main ATLAS (version 2.0) page.
Classical groups page Go to classical groups page.
Old S4(5) page Go to old S4(5) page - ATLAS version 1.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 created on 13th June 2000.
Last updated 27.06.00 by JNB.
Information checked to Level 0 on 13.06.00 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.