Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 4 1 2023 02 01 On a maximal subgroup of the Symplectic group $Sp(4,4)$ 17 25 4955 10.22060/ajmc.2022.21693.1099 EN Ayoub Basheer Mohammed Basheer School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa Journal Article 2022 08 19 This paper is dealing with a split extension group of the form $2^{6}{:}(3 \times A_{5}),$ which is the largest maximal subgroup of the Symplectic group $Sp(4,4).$ We refer to this extension by $\overline{G}.$ We firstly determine the conjugacy classes of $\overline{G}$ using the coset analysis technique. The structures of inertia factor groups were determined. We then compute the Fischer matrices of $\overline{G}$ and apply the Clifford-Fischer theory to calculate the ordinary character table of this group. The Fischer matrices of $\overline{G}$ are all integer valued, with sizes ranging from 1 to 4. The full character table of $\overline{G}$ is $26 \times 26$ complex valued matrix and is given at the end of this paper. https://ajmc.aut.ac.ir/article_4955_60ce36723c17bbac504f2ef4c8a46995.pdf