On intersections Sylov subgroups in finite groups, II

The finite groups with simple socle $K$ are considered, where $K$ is exeptional group of Lee type over field of order $3$. For Sylov $2$-subgroup $S$ let $l_2(G)$ be a number of $S$-orbits on the set $X=\{S^g\mid S\cap S^g=1,g\in G\}$. It is proved that $l_2(G)\ge3$.