Abstract
The full automorphism group U-5(2):2 of the special unitary group U-5(2) has a 10-dimensional absolutely irreducible module over GF(2). Hence a split extension of the form (G) over bar = 2(10):(U-5(2):2) does exist. In this paper we first determine the conjugacy classes of (G) over bar using the coset analysis technique. The structures of the inertia factor groups were determined. These are the groups U-5(2):2, 2(-)(1+6):((3(1+2):8):2) and O-5(2):2. We then determine the Fischer matrices and apply the Clifford-Fischer theory to compute the ordinary character table of (G) over bar. The Fischer matrices F-i of (G) over bar are all Z-valued, with sizes range between 1 and 5. The full character table of (G) over bar, which is 109 x 109 C-valued matrix is available in the PhD Thesis [1] of the first author, which could be accessed online.