Sarigedik Z.Ikikardes S.Sahin R.2025-04-102025-04-102015http://hdl.handle.net/20.500.14701/49340We consider the extended Hecke groups H(λq) generated by T(Z)=-1/Z,S(Z)=-1/(Z+λq) and R(Z)=1/Z with λq = 2cos(π/q) for q ≥ 3 integer: In this article, we study the abstract group structures of the power subgroups Hm(λq) of H(λq) for each positive integer m. Then, we give the relations between commutator subgroups and power subgroups.Article10.18514/mmn.2015.1214