Abstract
The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form 2(10): A8 := (G) over bar. In this paper we study this group, wherewe determine its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. We determined the inertia factor groups of (G) over bar and there are 7 such groups having the forms: H-1 = A(8), H-2 = 2(3): GL(3, 2), H-3 = 2(4):( S-3 x S-3), H-4 = 2(3): S-4, H-5 = S-5, H-6 = (S-3 x S-3):2 and H-7 = 2 x S-4. The character table of (G) over bar is a 81 x 81 complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16.