Abstract: Lagrange?s Theorem, which is one of the most important theorems in finite group theory states that the order of a subgroup H of a finite group G divides the order of G. In this project, we investigate the converse to Lagrange?s Theorem which would say, for every divisor d > 0 of the order of G, there is a subgroup H of G with order d. Groups that satisfy this converse property are known as CLT groups. In this project we study the classes of groups that satisfy the converse to Lagrange?s Theorem and we show that they are between the solvable and supersolvable groups. We give some examples that show that the inclusions are proper.