@article{On a maximal subgroup of the orthogonal group O⁺₈ (3)_2022, volume={41}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4778}, DOI={10.22199/issn.0717-6279-4778}, abstractNote={The orthogonal simple group 0 (3) has three conjugacy classes of maximal subgroups of the form 36:L4(3). These groups are all isomorphic to each other and each group has order 4421589120 with index 1120 in 0 (3). In this paper, we will compute the ordinary carácter table of one of these classes of maximal subgroups using the technique of Fischer-Clifford matrices. This technique is very efficient to compute the ordinary character table of an extension group Ḡ = N.G and especially where the normal subgroup N of Ḡ is an elementary abelian p-group. The said technique reduces the computation of the ordinary character table of Ḡ to find a handful of so-called Fischer-Clifford matrices of Ḡ and the ordinary or projective character tables of the inertia factor groups of the action of Ḡ on N.}, number={1}, journal={Proyecciones (Antofagasta, On line)}, year={2022}, month={Jan.}, pages={137–161} }