%0 Journal Article
%T On a maximal subgroup of the Symplectic group Sp(4,4)
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Basheer, Ayoub Basheer Mohammed
%D 2023
%\ 02/01/2023
%V 4
%N 1
%P 17-26
%! On a maximal subgroup of the Symplectic group Sp(4,4)
%K Group extensions
%K Symplectic group
%K inertia groups
%K Fischer matrices
%K character table
%R 10.22060/ajmc.2022.21693.1099
%X This paper is dealing with a split extension group of the form 26 :(3× A5), which is the largest maximal subgroup of the Symplectic group Sp(4, 4). We refer to this extension by G. We firstly determine the conjugacy classes of G using the coset analysis technique. The structures of inertia factor groups were determined. We then compute the Fischer matrices of G and apply the Clifford-Fischer theory to calculate the ordinary character table of this group. The Fischer matrices of G are all integer valued, with sizes ranging from 1 to 4. The full character table of G is 26×26 complex valued matrix and is given at the end of this paper.
%U https://ajmc.aut.ac.ir/article_4955_f2630b0b4095ccc2ab8d2836668b1eaf.pdf