ATLAS: Unitary group U3(11)

Order = 70915680 = 25.32.5.113.37.
Mult = 3.
Out = S3.

The following information is available for U3(11):


Standard generators

Standard generators of U3(11) are a and b where a has order 2, b has order 3, ab has order 37 and ababb has order 4.
Standard generators of the triple cover 3.U3(11) are preimages A and B where A has order 2 and AB has order 37.

Standard generators of U3(11):2 are c and d where c has order 2 (necessarily class 2B), d has order 4 (necessarily class 4D), cd has order 37 and cdd has order 10.
Standard generators of 3.U3(11):2 are preimages C and D where CD has order 37.

Standard generators of U3(11):3 are not defined.

Standard generators of U3(11):S3 are not defined.


Black box algorithms

To find standard generators for U3(11):


Representations

The representations of U3(11) available are:

The representations of 3.U3(11) available are:

The representations of U3(11):2 available are:

The representations of 3.U3(11):2 available are:


Maximal subgroups

The maximal subgroups of U3(11) are: The maximal subgroups of U3(11):2 are: The maximal subgroups of U3(11):3 are: The maximal subgroups of U3(11):S3 are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Classical groups page Go to classical groups page.
Old U3(11) page Go to old U3(11) page - ATLAS version 1.
ftp access Anonymous ftp access is also available. Click here for details.

Version 2.0 created on 24th February 2001.
Last updated 17.12.01 by RAW.
Information checked to Level 0 on 24.02.01 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.