The character table of an involution centralizer in the Dempwolff group 2^5·GL₅(2)

Abstract

The Dempwolff group D = 2^5· GL₅(2) has an involution centralizer of the type 2^5· (2⁴ :GL₄(2)) of index 31 and has order 10321920. In this paper, the Fischer-Clifford matrices of the non-split extension are computed. Then the character table of is constructed using these Fischer-Clifford matrices, the ordinary character table of 2⁴:GL₄(2) and the projective character tables of the inertia factor groups H₂ = 2⁴ :(2³ :GL₃ (2)) and .