"2-hypernormalized subgroup"
"2-subnormal subgroup"
"3-subnormal subgroup"
"4-subnormal subgroup"
"Almost normal subgroup"
"Almost subnormal subgroup"
"Ascendant subgroup"
"Asymptotically fixed-depth join-transitively subnormal subgroup"
"Automorph-join-closed subnormal subgroup"
"Central factor of normal subgroup"
"Characteristic subgroup of pronormal subgroup"
"Conjugate-commensurable subgroup"
"Conjugate-comparable subgroup"
"Conjugate-join-closed subnormal subgroup"
"Conjugate-permutable subgroup"
"Direct factor of normal subgroup"
"Finitarily hypernormalized subgroup"
"Finite-conjugate-join-closed subnormal subgroup"
"Hypernormalized subgroup"
"Intermediately join-transitively subnormal subgroup"
"Intermediately subnormal-to-normal subgroup"
"Intersection of subnormal subgroups"
"Join of finitely many 2-subnormal subgroups"
"Join of finitely many pronormal subgroups"
"Join of subnormal subgroups"
"Join-transitively 2-subnormal subgroup"
"Join-transitively almost subnormal subgroup"
"Join-transitively pronormal subgroup"
"Join-transitively subnormal subgroup"
"Linear-bound join-transitively subnormal subgroup"
"Locally subnormal subgroup"
"Modular 2-subnormal subgroup"
"Modular subgroup"
"Modular subnormal subgroup"
NE-subgroup
"Nearly normal subgroup"
"Normal subgroup of characteristic subgroup"
"Paranormal subgroup"
"Permutable 2-subnormal subgroup"
"Permutable subgroup"
"Permutable subgroup of normal subgroup"
"Permutable subnormal subgroup"
"Polynomial-bound join-transitively subnormal subgroup"
"Polynormal subgroup"
"Pronormal subgroup"
"R-normal subgroup"
SCDIN-subgroup
"Self-conjugate-permutable subgroup"
"Subgroup for which any join of conjugates is a join of finitely many conjugates"
"Subgroup for which every lattice complement is a permutable complement"