on a maximal subgroup of the symplectic group sp(4,4)

This paper is dealing with a split extension group of the form 2^6 :(3× a5), which is the largest maximal subgroup of the symplectic group sp(4, 4). we refer to this extension by g. we firstly determine the conjugacy classes of g using the coset analysis technique. the structures of inertia factor groups were determined. we then compute the fischer matrices of g and apply the clifford-fischer theory to calculate the ordinary character table of this group. the fischer matrices of g are all integer valued, with sizes ranging from 1 to 4. the full character table of g is 26×26 complex valued matrix and is given at the end of this paper.