THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP 27:O-6 (2) OF A MAXIMAL SUBGROUP 27:Sp6(2) IN Sp8(2)

The subgroups of symplectic groups which fix a non-zero vector of the underlying symplec- tic space are called affine subgroups. The split extension group A(4) = 27:Sp6(2) is the affine subgroup of the symplectic group Sp8(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 27:O-6 (2) of A(4) of index 28.