On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices

The solvability of a finite group $G$ with two non-conjugate maximal subgroups $A$ and $B$ has been proved. It satisfies the following requirements: subgroups $A$ and $B$ have primary indices in $G$; all proper subgroups of $A$ and $B$ are supersoluble.