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 $5^2{:}2A_5$.
Moori, J., & Seretlo, T. (2013). On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly. Bulletin of the Iranian Mathematical Society, 39(5), 1037-1052.
MLA
Moori, J., & Seretlo, T. "On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly", Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 1037-1052.
HARVARD
Moori J., Seretlo T. (2013). 'On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly', Bulletin of the Iranian Mathematical Society, 39(5), pp. 1037-1052.
CHICAGO
J. Moori & T. Seretlo, "On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly," Bulletin of the Iranian Mathematical Society, 39 5 (2013): 1037-1052,
VANCOUVER
Moori J., Seretlo T. On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly. BIMS. 2013;39(5):1037-1052.
