the fischer-cliford matrices and character table of the split extension group 2^5:sl(5,2)

The group G ̅=2^5:SL(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:SL(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 G ̅, which together with the associated partial character tables of the inertia groups, are used to compute the full charter table of G ̅. There are 27 Ficsher-Clifford matrices with sizes between 1×1 and 3×3.