Computation of the character tables of certain group extensions

Abstract

The work done in this mini thesis deals mainly with different methods of calculating character tables of split extensions of finite groups. Three of the six character tables that are calculated are done with the use of Fischer matrices. In this work the method of Fischer is applied on groups of the form N.G where N is an elementary abelian group. In fact, only one of the six groups of which the character tables are calculated, is not of this form and so Fischer matrices could easily have been used to calculate five of the character tables. The aim of the work done here however is to exhibit a variety of methods to calculate the character tables of split extensions.