ATLAS: Alternating group A11

Order = 19958400 = 27.34.52.7.11.
Mult = 2.
Out = 2.

Standard generators

Standard generators of A11 are a and b where a is in class 3A, b has order 9 and ab has order 11.
In the natural representation we may take a = (1, 2, 3) and b = (3, 4, 5, 6, 7, 8, 9, 10, 11).
Standard generators of the double cover 2.A11 are preimages A and B where A has order 3 and B has order 9.

Standard generators of S11 = A11.2 are c and d where c is in class 2C, d is in class 10D and cd has order 11.
In the natural representation we may take c = (1, 2) and d = (2, 3, 4, 5, 6, 7, 8, 9, 10, 11).
Standard generators of either of the double covers 2.S11 are preimages C and D where CD has order 11.


Representations

The representations of A11 available are The representations of 2.A11 available are The representations of S11 = A11:2 available are The representations of 2.S11 (plus type) available are The representations of 2.S11 (minus type) available are

Maximal subgroups

The maximal subgroups of A11 are:

Conjugacy classes

For definiteness, we choose ab to be in the class 11A, and aababb to be in the class 21A.
Main ATLAS page Go to main ATLAS (version 2.0) page.
Alternating groups page Go to alternating groups page.
Old A11 page Go to old A11 page - ATLAS version 1.
ftp access Anonymous ftp access is also available on sylow.mat.bham.ac.uk.

Version 2.0 file created on 18th April 2000, from Version 1 file last modified on 25.08.98.
Last updated 14.01.02 by RAW.
Information checked to Level 0 on 18.04.00 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.