Let $G$ be a finite group and $g\in G$ such that $o(g)=pq$, where $p<q$ are prime numbers. (Also we know that $g^G$ is conjugacy class of $g$ in $G$.) Under which conditions we can say that $|(g^p)^G|=|(g^q)^G|=|(g^{q−p})^G|$? Is it possible that it happen?