The Projective Character Tables of a Solvable Group 26: (6 × 2)

Abstract

The Chevalley–Dickson simple group of Lie type over the Galois field and of order has a class of maximal subgroups of the form , where is a special 2-group with center . Since is normal in , the group can be constructed as a nonsplit extension group of the form . Two inertia factor groups, and , are obtained if acts on . In this paper, the author presents a method to compute all projective character tables of . These tables become very useful if one wants to construct the ordinary character table of by means of Fischer–Clifford theory. The method presented here is very effective to compute the irreducible projective character tables of a finite soluble group of manageable size.