Geodesic
Finite groups all $n$-th maximal subgroups of which are generalized schmidt groups
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 129-136.

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The article contains a complete description of finite groups, every maximal solvable subgroup $H$ of which possesses the following property: all $(n-1)$-th maximal subgroups of $H$ are generalized Schmidt groups. It is shown that $n=1$. 
@article{MZM_1969_5_1_a15,
     author = {Ya. G. Berkovich},
     title = {Finite groups all $n$-th maximal subgroups of which are generalized schmidt groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {129--136},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a15/}
}
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Ya. G. Berkovich. Finite groups all $n$-th maximal subgroups of which are generalized schmidt groups. Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 129-136. http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a15/