let $g$ be a finite group and let $text{cd}(g)$ be the set of all complex irreducible character degrees of $g$. b. huppert conjectured that if $h$ is a finite nonabelian simple group such that $text{cd}(g) =text{cd}(h)$, then $gcong h times a$, where $a$ is an abelian group. in this paper, we verify the conjecture for ${f_4(2)}.$
