ATLAS: Unitary group U6(3)

Order = 22837472432087040 = 213.315.
Mult = 2.
Out = 22.

The following information is available for U6(3):

Standard generators

Standard generators of U6(3) are a and b where a is in class 2A, b has order 15, ab has order 91 and abb has order 14.
Standard generators of the double cover 2.U6(3) = SU6(3) are preimages A and B where B has order 15 and AB has order 91.

Black box algorithms

To find standard generators of U6(3):


A presentation of U6(3) on its standard generators is given below:

< a, b | a2 = b15 = (ab)91 = (ab2)14 = [a, b]2 = [a, b2]3 = [a, b4]3 = [a, b−2ab5ab2] = [a, b3]4 = 1 >.

This presentation is available in Magma format as follows: U6(3) on a and b.


The representations of U6(3) available are: The representations of 2.U6(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 27.05.08 by JNB.