"Intermediate notions between [[characteristic subgroup]] and [[fully invariant subgroup]]","Intermediate notions between [[characteristic subgroup]] and [[fully invariant subgroup]]#"
"Finite direct power-closed characteristic subgroup","Finite direct power-closed characteristic subgroup"
"Injective endomorphism-invariant subgroup","Injective endomorphism-invariant subgroup"
"Normality-preserving endomorphism-invariant subgroup","Normality-preserving endomorphism-invariant subgroup"
"Retraction-invariant characteristic subgroup","Retraction-invariant characteristic subgroup"
"Strictly characteristic subgroup","Strictly characteristic subgroup"