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The Chevalleyâ€“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 Fischerâ€“Clifford theory. The method presented here is very effective to compute the irreducible projective character tables of a finite soluble group of manageable size.

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