TY - JOUR AU - Gambo, Ibrahim AU - Sarmin, Nor Haniza AU - Saleh Omer, Sanaa Mohamed PY - 2019/07/31 Y2 - 2024/03/28 TI - On Some Graphs of Finite Metabelian Groups of Order Less Than 24 JF - MATEMATIKA JA - MATEMATIKA VL - 35 IS - 2 SE - Articles DO - 10.11113/matematika.v35.n2.1054 UR - https://matematika.utm.my/index.php/matematika/article/view/1054 SP - 237-247 AB - In this work, a non-abelian metabelian group is represented by G while represents conjugacy class graph. Conjugacy class graph of a group is that graph associated with the conjugacy classes of the group. Its vertices are the non-central conjugacy classes of the group, and two distinct vertices are joined by an edge if their cardinalities are not coprime. A group is referred to as metabelian if there exits an abelian normal subgroup in which the factor group is also abelian. It has been proven earlier that 25 non-abelian metabelian groups which have order less than 24, which are considered in this work, exist. In this article, the conjugacy class graphs of non-abelian metabelian groups of order less than 24 are determined as well as examples of some finite groups associated to other graphs are given. ER -