clifford-fischer theory applied to a group of the form $2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2)$

‎in our paper [a‎. ‎b‎. ‎m‎. ‎basheer and j‎. ‎moori‎, ‎on a group of the form $2^{10}{:}(u_{5}(2){:}2)$] we calculated the inertia factors‎, ‎fischer matrices and the ordinary character table of the split‎ ‎extension $ 2^{10}{:}(u_{5}(2){:}2)$ by means of clifford-fischer‎ ‎theory‎. ‎the second inertia factor group of $2^{10}{:}(u_{5}(2){:}2)$‎ ‎is a group of the form $2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2).$ the‎ ‎purpose of this paper is the determination of the conjugacy classes‎ ‎of $overline{g}$ using the coset analysis method‎, ‎the determination‎ ‎of the inertia factors‎, ‎the computations of the fischer matrices and‎ ‎the ordinary character table of the split extension $overline{g}=‎‎2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2)$ by means of clifford-fischer‎ ‎theory‎. ‎through various theoretical and computational aspects we‎ ‎were able to determine the structures of the inertia factor groups‎. ‎these are the groups $h_{1} = h_{2} = (3^{1+2}{:}8){:}2, $ $h_{3} =‎‎qd_{16}$ and $h_{4} = d_{12}.$ the fischer matrices‎ ‎$mathcal{f}_{i}$ of $overline{g},$ which are complex valued‎ ‎matrices‎, ‎are all listed in this paper and their sizes range between‎ ‎2 and 5‎. ‎the full character table of $overline{g},$ which is $41‎ ‎times 41$ complex valued matrix‎, ‎is available in the phd thesis of‎ ‎the first author‎, ‎which could be accessed online‎.