ATLAS: Exceptional group 3D4(2)

Order = 211341312 = 212.34.72.13.
Mult = 1.
Out = 3.

The following information is available for 3D4(2):


Standard generators

Standard generators of 3D4(2) are a and b where a is in class 2A, b has order 9, ab has order 13 and abb has order 8.
The last condition may be replaced by: b is in class 9A and ab is in class 13A.
Standard generators of 3D4(2):3 are c and d where c has order 2, d is in class 3D, cd has order 21, cdcdd has order 7 and cdcdcdcddcdcddcddcdd has order 6.
Note: c is in class 2B.
10/2/99: standard generators of 3D4(2):3 corrected. There are no elements of the group satisfying the previous definition.

Representations

The representations of 3D4(2) available are: The representations of 3D4(2):3 available are:

Maximal subgroups

The maximal subgroups of 3D4(2) are: The maximal subgroups of 3D4(2):3 are:

Conjugacy classes

A set of generators for the maximal cyclic subgroups of 3D4(2) can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements.

A set of generators for the maximal cyclic subgroups of 3D4(2):3 can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements.

An outer automorphism of 3D4(2) can be obtained by running this program on the standard generators.


Main ATLAS page Go to main ATLAS (version 2.0) page.
Sporadic groups page Go to sporadic groups page.
Old 3D4(2) page Go to old 3D4(2) page - ATLAS version 1.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 created on 17th April 2000.
Last updated 04.11.02 by RAW.
Information checked to Level 0 on 18.04.00 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.