on a group of the form 3^7:sp(6,2)

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 g¯=‎‎37:sp(6,2) by means of clifford-fischer theory‎. ‎we firstly‎ ‎determine the conjugacy classes of 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(6,2). the fischer matrices of‎ ‎g¯ are all listed in this paper and their sizes range‎ ‎between 2 and 10‎. ‎the character table of ,g¯, which is a‎ 118×118 c-valued matrix‎, ‎is available in the phd‎ ‎thesis of the first author‎, ‎which could be accessed online‎.