Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 7 2 2026 04 01 The character table of a subgroup $2^7{:}G_2 (2)$ of $Sp_8(2)$ 163 174 5605 10.22060/ajmc.2024.23464.1258 EN Abraham Love Prins Department of Computational Scineces, University of Fort Hare, Alice, 5700, South Africa 0000-0002-4070-7399 Jacinta Murunga Sikolia Department of Mathematics and Actuarial Science, Kibabii University, PO Box 1699 - 50200, Bungoma, Kenya Lucy Chikamai Department of Mathematics and Actuarial Science, Kibabii University, PO Box 1699 - 50200, Bungoma, Kenya Journal Article 2024 08 24 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 $Sp_8(2)$. https://ajmc.aut.ac.ir/article_5605_7abdfbd11b37a9f822fb1ffefb860a31.pdf