The Fischer-Cliford Matrices and Character Table of the Split Extension Group π π : πΊπ³(π, π)
Rauhi I. Elkhatib Β· General Letters in Mathematics Β· 2018
The group πΊ Μ = 2 5 : ππΏ(5,2) is a maximal subgroup of the special linear group SL(6,2) of index 2016.This Group has two inertia factor groups namely, SL(5,2) and 2 4 : ππΏ(4,2) of indices 1 and 31 respectively in SL(5, 2).The aim of this paper is to construct the Fischer-Clifford matrices of πΊ Μ , which together with the associated partial character tables of the inertia groups, are used to compute the full charter table of πΊ Μ .There are 27 Ficsher-Clifford matrices with sizes between 1 Γ 1 and 3 Γ 3.