20D10 6 20D20 20D15 3 20D25 1 20D35 1 20E28 1 Finite group 1 Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation 1 PST-group 1 S-permutable subgroup 1 S-quasinormal subgroup 1 Schmidt subgroup 1 \(K\)-lattice saturated formation 1 \(\cal F\) -critical group,\(\cal F\) -maximal subgroup 1 \(\cal F\)-hypercentre 1 \(\sigma\)-nilpotent group 1 \(s\)-permutable group 1 boundary condition 1 finite group 1 hereditary formation 1 nilpotent group 1 p-nilpotent 1 quasinormal group 1 saturated formation 1 seminormal subgroup 1 semipermutable subgroup 1 soluble group 1 supersolublegroup 1 well \(p\)-embedded group 1