On a group of the form 3 7: Sp(6,2) 37:Sp(6,2)

ýThe purpose of this paper is the determination of the inertiaý ýfactorsý, ýthe computations of the Fischer matrices and the ordinaryý ýcharacter table of the split extension G ¯ ¯ ¯ ¯ =ýý3 7 :Sp(6,2) G¯=ýý37:Sp(6,2) by means of Clifford-Fischer Theoryý. ýWe firstlyýýdetermine the conjugacy classes of G ¯ ¯ ¯ ¯ G¯ using the cosetý ýanalysis methodý. ýThe determination of the inertia factor groups ofý ýthis extension involved looking at some maximal subgroups of the ýmaximal subgroups of Sp 6,2). Sp(6,2). The Fischer matrices ofý ýG ¯ ¯ ¯ ¯ G¯ are all listed in this paper and their sizes rangeý ýbetween 2 and 10ý. ýThe character table of G ¯ ¯ ¯ ¯ , G¯, which is aý ý118×118 C 118×118 C -valued matrixý, ýis available in the PhDý ýthesis of the first authorý, ýwhich could be accessed onlineý.