en عمومى General پژوهشي Research paper The affine general linear group 2⁵:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest two maximal subgroups are of the forms 2¹⁺⁸:GL(4, 2) and 2⁴⁺⁵:GL(4, 2). In this article we consider the group 2⁴⁺⁵:GL(4, 2), which we denote by ${bar G}$. Firstly we determine its conjugacy classes using the coset analysis technique. The structures of the inertia factor groups are also determined. We then compute all the Fischer matrices and apply the Clifford-Fischer theory to compute the ordinary character table of ${bar G}$. Using information on conjugacy classes, Fischer matrices and both ordinary and projective character tables of the inertia factor groups, we concluded that we need to use the ordinary character tables of all the inertia factor groups to construct the character table of ${bar G}$. The character table of ${bar G}$ is a 75×75 complex valued matrix and we supply it (in the format of Clifford-Fischer theory) at the end of this paper as Table 6. Group extensions, General linear group, Character table, Inertia factor groups, Fischer matrices. 169 188 http://ijmsi.ir/browse.php?a_code=A-10-6007-1&slc_lang=en&sid=1 A. B. M. Basheer ayoubbasheer@gmial.com 100319475328460011186 100319475328460011186 Yes School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa J. Moori jamshid.moori@nwu.ac.za 100319475328460011187 100319475328460011187 No School of Mathematical and Statistical Sciences, PAA Focus Area, North-West University (Mahikeng), P. Bag X2046, Mmabatho 2790, South Africa A. L. Prins aprins@ufh.ac.za 100319475328460011188 100319475328460011188 No Department of Pure and Applied Mathematics, University of Fort Hare, Alice, 5700, South Africa T. T. Seretlo thekiso.seretlo@ul.ac.za 100319475328460011189 100319475328460011189 No School of Mathematical and Statistical Sciences, PAA Focus Area, North-West University (Mahikeng), P. Bag X2046, Mmabatho 2790, South Africa