This package provides programs to compute ordinary character tables of finite groups, either interactively or automatically.

The automatic variant is based on Brauer's characterization of generalized characters and uses induction from p-elementary subgroups C x P (C cyclic p'-group and P a p-group) and LLL-reduction.

This is explained in the article:

    W. R. Unger, Computing the character table of a finite group,
    Journal of Symbolic Computation 41 (2006), p. 847–862.

There is another GAP package 'InduceReduce' by Jonathan Gruber:

    https://github.com/gap-packages/InduceReduce

This package was created in an attempt to optimize the “InduceReduce” package. Some ideas of this package were sketched in the following master thesis which was supervised by the author of this package:

    Ulli Kehrle, Character tables by Unger's algorithm and 
    identification of conjugacy classes, Master Thesis, RWTH Aachen,
    2022.

Just download the archive from

   TODO

and unpack it in one of the 'pkg' directories of your GAP installation, or clone the git repository

   git clone https://github.com/frankluebeck/CCTab.git

Then load the package with

   gap> LoadPackage("CCTab");

Use the issue tracker

   https://github.com/frankluebeck/CCTab/issues

Distributed under the terms of the GNU General Public License (GPL) v3, see the 'LICENSE' file for more details.