Character tables of some groups of extension type
Abstract
The main aim of this mini-thesis is to give a description of some of the basic methods and techniques
that have been developed to calculate the character tables of groups of extension type. We restrict
our attention to split extensions G of the normal subgroup N of G by the subgroup G with the
property that every irreducible character of N can be extended to an irreducible character of its
inertia group in G. This is particularly true when N is abelian. We are therefore interested in this
special case for which Bernd Fischer developed the theory of Fischer matrices based on the Clifford
Theory, to calculate the character tables for both split and non-split extensions.