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}{...