Ayoub Basheer - North-West University (Mafikeng Campus)
Jamshid Moori - North-West University (Mafikeng Campus)

‎The purpose of this paper is the determination of the inertia‎ ‎factors‎, ‎the computations of the Fischer matrices and the ordinary‎ ‎character table of the split extension \overline{G}=‎ ‎۳^{۷}{:}Sp(۶,۲) by means of Clifford-Fischer Theory‎. ‎We firstly‎ ‎determine the conjugacy classes of \overline{G} using the coset‎ ‎analysis method‎. ‎The determination of the inertia factor groups of‎ ‎this extension involved looking at some maximal subgroups of the‎ ‎maximal subgroups of Sp(۶,۲). The Fischer matrices of‎ ‎\overline{G} are all listed in this paper and their sizes range‎ ‎between ۲ and ۱۰‎. ‎The character table of \overline{G}, which is a‎ ‎۱۱۸\times ۱۱۸\ \mathbb{C}-valued matrix‎, ‎is available in the PhD‎ ‎thesis of the first author‎, ‎which could be accessed online‎.

Group extensions, symplectic group, character table, inertia groups, Fischer matrices