On automorphisms of a distance-regular graph with intersection array $\{44,30,5;1,3,40\}$

Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{44,30,5;1,3,40\}$. Let $G={\rm Aut}(\Gamma)$ is nonsolvable group. If $\Gamma$ is arc-transitive then $G$ is is an extension of some group $P$ by $PGL_2(11)$, $|P:O_3(P)|=2$, $|G_a:P_a|=11$ and $|P:P_a|=9$.