%0 Journal Article
%T Fischer matrices of Dempwolff group $2^{5}{^{cdot}}GL(5,2)$
%A Ayoub Basheer Mohammed Basheer
%A Jamshid Moori
%J International Journal of Group Theory
%D 2012
%I University of Isfahan
%X In cite{Demp2} Dempwolff proved the existence of a group of theform $2^{5}{^{cdot}}GL(5,2)$ (a non split extension of theelementary abelian group $2^{5}$ by the general linear group$GL(5,2)$). This group is the second largest maximal subgroup of thesporadic Thompson simple group $mathrm{Th}.$ In this paper wecalculate the Fischer matrices of Dempwolff group $overline{G} =2^{5}{^{cdot}}GL(5,2).$ The theory of projective characters isinvolved and we have computed the Schur multiplier together with aprojective character table of an inertia factor group. The fullcharacter table of $overline{G}$ is then can be calculated easily.
%K Group extensions
%K Dempwolff group
%K character table
%K Clifford theory
%K inertia groups
%K Fischer matrices
%K Schur multiplier
%K projective characters
%K covering group
%U http://www.theoryofgroups.ir/?_action=showPDF&article=1590&_ob=e7bcdc949b15b34554b46d8c59cfc1ce&fileName=full_text.pdf