The College of Education for Pure Sciences, Department of Mathematics, organized a lecture on "The P-Graph Generated from Some Finite Groups." The lecture, presented by instructor Nour El-Din Adnan Hato, included: "Considering a finite set with a subset of it, which constitutes the set of prime elements, in this research we present graphs whose vertices are elements of the finite set. Any two vertices connected by an edge if their influence under the binary operation belongs to the subset, we will investigate the algebraic structure of these graphs and explain how the set is generated from the aforementioned statement