id: 06039631 dt: j an: 06039631 au: Aslam, Muhammad; Mushtaq, Qaiser ti: Parametrization of actions of $\langle u,v:u^6=v^6=1\rangle$. so: Quasigroups Relat. Syst. 19, No. 2, 183-192 (2011). py: 2011 pu: Institute of Mathematics, Chişinău; Higher College of Engineering in Legnica, Legnica la: EN cc: ut: linear-fractional transformations; non-degenerate homomorphisms; conjugacy classes; parametrizations; projective lines ci: li: ab: Summary: Graham Higman proposed the problem of parametrization of actions of the extended modular group $\text{PGL}(2,\Bbb Z)$ on the projective line over $\Bbb F_q$. This problem was solved by the second author. In this paper, we take up the problem and parametrize the actions of $\langle u,v,t:u^6=v^6=t^2=(ut)^2=(vt)^2=1\rangle$ on the projective line over finite Galois fields. rv: