Kimani, Patrick MwangiKamuti, IreriRimberia, Jane2022-10-282022-10-282019https://doi.org/10.12988/ija.2019.81239https://doi.org/10.12988/ija.2019.81239https://doi.org/10.12988/ija.2019.81239http://repository.embuni.ac.ke/handle/123456789/4197The action of projective general group on the cosets of its maximal subgroups has been studied. For instance, [9] studied the action of G on the cosets of PGL(2; e) when q is an odd prime power of e. In this paper, we determine the rank and subdegrees of the action of PGL(2; q) on the cosets of its subgroup PGL(2; e) for odd q and an even power of e. We apply the table of marks to achieve this.en-USRanksSubdegreesMarkRank and Subdegrees of PGL(2; q) Acting Cosets of PGL(2; e) for q an Even Power of eArticle