%0 Journal Article
%T On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Moori, J.
%A Seretlo, T.
%D 2013
%\ 10/15/2013
%V 39
%N 5
%P 1037-1052
%! On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly
%K Group extensions
%K Lyons group
%K character table
%K Clifford theory Fischer-Clifford matrices
%R
%X 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 $5^2{:}2A_5$.
%U http://bims.iranjournals.ir/article_459_58273f9efd05d9a6da2fc3790b5110c6.pdf