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A typical example for the algebraic groups is the general linear groups G =GL(n, F), we have studied the structure of such groups and paid special attention to its important substructures, namely the Parabolic subgroups.For a given G we computed all the Parabolic subgroups and determined their number,depending on the fact that any finite group has a composition series and the composition factors of a composition series are simple groups which are completely classified, we report here some investigations on the computed Parabolic subgroups. This has been done with the utility of GAP.