ATLAS: Fischer group Fi23

Order = 4089470473293004800 = 218.313.
Mult = 1.
Out = 1.

The following information is available for Fi23:

Standard generators

Standard generators of the Fischer group Fi23 are a and b where a is in class 2B, b is in class 3D and ab has order 28.

Black box algorithms

Finding generators

To find standard generators for Fi23: This algorithm is available in computer readable format: finder for Fi23.

Checking generators

To check that elements x and y of Fi23 are standard generators:

This algorithm is available in computer readable format: checker for Fi23.


The representations of Fi23 available are:

Maximal subgroups

The maximal subgroups of Fi23 are:

Conjugacy classes

A set of generators for the maximal cyclic subgroups can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements. Problems of algebraic conjugacy are not yet dealt with.
Main ATLAS page Go to main ATLAS (version 2.0) page.
Sporadic groups page Go to sporadic groups page.
Old Fi23 page Go to old Fi23 page - ATLAS version 1.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 created on 7th June 2000.
Last updated 16.05.06 by JNB.
Information checked to Level 0 on 07.06.00 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.