Computation of the character tables of certain group extensions

Abstract

In this chapter some basic theory on group extensions is first given in section 1.1 and then a method for finding the conjugacy classes of group extensions is described in section i.2. In section 1.3 we look at an example due to Whitley[ 19 ] to illustrate how the theory developed in section 1.2 is used to calculate the conjugacy classes of the group 23 : GLs(2). For section 1.1 , the books by Rotman[l7] and Gorenstein[8] were used as references while for section 1.2 we used the works of Whitley[l9], Moori[15], Moori and Nlpono[16] and Salleh[18].