Автоморфизмы дистанционно регулярного графа с массивом пересечений $\{24,18,9;1,1,16\}$

Koolen and Park classified Shilla graphs with $b=2$ and with $b=3$. Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph $\Gamma$ with intersection array $\{24,18,9;1,1,16\}$. Let $G={\rm Aut}(\Gamma)$ is nonsolvable group, $\bar G=G/S(G)$ and $\bar T$ is the socle of $\bar G$. Then $G$ contains now elements of order 35 and $\bar T\cong J_2, A_{10}$ or $\Omega^+_8(2)$. In particular graph $\Gamma$ is not vertex symmetric.