On finite non-simple $4$-primary groups

Let $G$ be a finite $4$-primary group with disconnected prime graph, $\pi_1(G) = \{2,3,r\}$ for $r \in \{5,7\}$, $G/F(G)$ is a nonsimple almost simple group non isomorphic to $S_4(9).2$. In this paper, all chief factors of $G$ are described.