Converse of Lagrange s theorem (CLT) numbers under $1000$

A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange s Theorem‎. ‎In this note‎, ‎we find all CLT and supersolvable numbers up to $1000$‎. ‎We also formulate some questions about the distribution of these numbers‎.