Musyoka, David MwanziaNjuguna, Lydia NyamburaPrins, Abraham LoveChikamai, Lucy2023-07-112023-07-112023Musyoka, D.M., Njuguna, L.N., Prins, A.L. and Chikamai, L., 2023. On a quotient group 7 4:(3× 2S7) of a 7-local subgroup of the Monster M. group, 1(71), p.4.https://pjm.ppu.edu/sites/default/files/papers/PJM_Feb_2022_14_to_29.pdfhttp://ir-library.ku.ac.ke/handle/123456789/26150articleThe largest Sporadic simple group, the MonsterM, has a maximal-7-local subgroup 71+4 + :(3 2S7) of order 508243680 = 25:33:5:76. In this paper, the Fischer-Clifford matrices and associated ordinary character table of the quotient group G = 71+4 + :(3 2S7) 71+4 + = 74:(3 2S7) will be computed. We have few, if any, examples in the literature, where the Fischer-Clifford matrices technique is applied to an extension with the kernel being an elementary abelian 7-group. There are quite a number of examples with the kernel of the extension group an elementary abelian 2, 3 or 5-group.ensplit extensionextra-special p-groupinertia factor groupfusion mapFischer-Clifford matricesArticle