]> 2026-08-29T22:48:17+00:00 Subgroup metaproperty satisfactions 14 en Subgroup metaproperty satisfactions Normality is strongly intersection-closed 0 en Normality is strongly intersection-closed Characteristicity is transitive 0 en Characteristicity is transitive Characteristicity is quotient-transitive 0 en Characteristicity is quotient-transitive Normal Sylow satisfies transfer condition 0 en Normal Sylow satisfies transfer condition Normality is strongly join-closed 0 en Normality is strongly join-closed Normality satisfies transfer condition 0 en Normality satisfies transfer condition Powering-invariance does not satisfy lower central series condition in nilpotent group 0 en Powering-invariance does not satisfy lower central series condition in nilpotent group Automorph-conjugacy is transitive 0 en Automorph-conjugacy is transitive 2-subnormality is strongly intersection-closed 0 en 2-subnormality is strongly intersection-closed Normality is strongly intersection-closed 0 en Normality is strongly intersection-closed Characteristicity is transitive 0 en Characteristicity is transitive Characteristicity is quotient-transitive 0 en Characteristicity is quotient-transitive Normal Sylow satisfies transfer condition 0 en Normal Sylow satisfies transfer condition Normality is strongly join-closed 0 en Normality is strongly join-closed Normality satisfies transfer condition 0 en Normality satisfies transfer condition Powering-invariance does not satisfy lower central series condition in nilpotent group 0 en Powering-invariance does not satisfy lower central series condition in nilpotent group Automorph-conjugacy is transitive 0 en Automorph-conjugacy is transitive 2-subnormality is strongly intersection-closed 0 en 2-subnormality is strongly intersection-closed INST 132 en INST