# Computing the number of elements of order $2$ and $3$, in the groups $L_{3}(q)$

What are the number of elements of order $2$ and $3$ in the groups $L_{3}(q)$?

Also let $r$ be a divisor of $q^{2}+q+1$. What is the number of elements of order $r$ in the groups $L_{3}(q)$?

-