ATLAS: Linear group L6(2)

Order = 20158709760 =
Mult = 1.
Out = 2.

Standard generators

Standard generators of L6(2) are a and b where a is in class 2A, b is in class 6F, ab has order 63 and abb has order 6.

Standard generators of L6(2):2 are c and d where c is in class 2D, d is in class 7CD (i.e. the class of 7-elements with fixed points in the natural representation) cd has order 30, and cdd has order 14.

To obtain standard generators for L6(2) from those for L6(2):2 run this program.

The outer automorphism of L6(2) may be realised by running this program.

Black box algorithms

To obtain standard generators of L6(2): To obtain standard generators of L6(2).2:


The representations of L6(2) available are: The representations of L6(2):2 available are:

Maximal subgroups

The maximal subgroups of L6(2) are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Linear groups page Go to linear groups page.
Old L6(2) page Go to old L6(2) page - ATLAS version 1.
ftp access Anonymous ftp access is also available on

Version 2.0 created on 14th December 2001.
Last updated 04.11.02 by RAW.
Information checked to Level 0 on 05.01.02 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.