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

Prins, Abraham Love; Sikolia, Jacinta Murunga; Chikamai, Lucy

doi:10.22060/ajmc.2024.23464.1258

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

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Document Type : Original Article

Authors

Abraham Love Prins ¹
Jacinta Murunga Sikolia ²
Lucy Chikamai ²

¹ Department of Computational Sciences, University of Fort Hare, Private Bag X1314, King William’s Town Road, Alice, 5700, South Africa

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

10.22060/ajmc.2024.23464.1258

Abstract

In this paper, the ordinary character table of a finite extension of structure $\overline{G}=2^7{:}G_2(2)$ is computed via the Fischer-Clifford matrices technique. The group $\overline{G}$ sits maximally in the affine subgroup $2^7{:}Sp_6(2)$ of the symplectic group $Sp_8(2)$.

Keywords