FISCHER MATRICES OF DEMPWOLFF GROUP 25.GL(5; 2)

Abstract. in [u. dempwolff, on extensions of elementary abelian groups of order 2^5 by gl(5; 2), rend. sem. mat. univ. padova, 48 (1972), 359 - 364.] dempwolff proved the existence of a group of the form 2^5.gl(5; 2) (a non split extension of the elementary abelian group 25 by the general linear group gl(5; 2)). this group is the second largest maximal subgroup of the sporadic thompson simple group th: in this paper we calculate the fischer matrices of dempwolff group g = 2^5.gl(5; 2): the theory of projective characters is involved and we have computed the schur multiplier together with a projective character table of an inertia factor group. the full character table of g is then can be calculated easily.