TY - JOUR ID - 459 TI - On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Moori, J. AU - Seretlo, T. AD - University of North-West, Mafikeng, South Africa Y1 - 2013 PY - 2013 VL - 39 IS - 5 SP - 1037 EP - 1052 KW - Group extensions KW - Lyons group KW - character table KW - Clifford theory Fischer-Clifford matrices DO - N2 - The non-split extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the Fischer-Clifford matrices of $overline{G}$, which together with associated partial character tables of the inertia factor groups, are used to compute a full character table of $overline{G}$. A partial projective character table corresponding to $5^2{:}2A_5$ is required, hence we have to compute the Schur multiplier and projective character table of $5^2{:}2A_5$. UR - http://bims.iranjournals.ir/article_459.html L1 - http://bims.iranjournals.ir/article_459_58273f9efd05d9a6da2fc3790b5110c6.pdf ER -