The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2)

The subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups. The split extension group A(4) = 2^7:SP(6,2) is the affine subgroup of the symplectic group SP(8,2) of index 255. In this paper, we use the technique of the Fischer-Clifford matrices to construct the character table of the inertia group 2^7:O-(6 ,2) of A(4) of index 28.