The character table of a subgroup $2^7{:}G_2 (2)$ of $Sp_8(2)$

The character table of a subgroup $2^{7} : G_{2} (2)$ of $S p_{8} (2)$

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Document Type : Original Article

Authors

¹ Department of Pure and Applied Mathematics, University of Fort Hare, Alice, 5700, South Africa

² Department of Mathematics and Actuarial Science, Kibabii University, PO Box 1699 - 50200, Bungoma, Kenya

Abstract

In this paper, the ordinary character table of a finite extension of structure

\overset{―}{G} = 2^{7} : G_{2} (2)

is computed via the Fischer-Clifford matrices technique. The group

\overset{―}{G}

sits maximally in the affine subgroup

2^{7} : S p_{6} (2)

of the symplectic group

S p_{8} (2)

Keywords

Main Subjects