sums of sylow numbers of finite groups

Let $g$ be a finite group, $n_{p}(g)$ be the number of sylow $p$-subgroups of $g$, and $pi (g)$ be the set of prime divisors of $|g|$. ##we set $s(g)={pin pi (g)|n_{p}(g)>1}$ and define $delta_{0}(g)=sumlimits_{pin s(g)}n_{p}(g)$. in cite{khalili1}, the authors worked on $delta _{0}(g)$, with small $delta_{0}(g)$. ##continuing cite{khalili1}, our further investigation show that if $delta_{0}(g)<57$, then $g$ is solvable or $g/ncong a_{5}$ or $g/ncong s_{5}$, where $n$ is the largest normal solvable subgroup of $g$.