]> 2026-07-07T06:16:53+00:00 2-subnormal subgroup 0 en 2-subnormal subgroup Commutator of a normal subgroup and a subset implies 2-subnormal 0 en Commutator of a normal subgroup and a subset implies 2-subnormal 2-subnormal implies conjugate-permutable 0 en 2-subnormal implies conjugate-permutable 2-subnormal implies conjugate-join-closed subnormal 0 en 2-subnormal implies conjugate-join-closed subnormal 2-subnormal implies join-transitively subnormal 0 en 2-subnormal implies join-transitively subnormal Normal subgroup 0 en Normal subgroup Direct factor of characteristic subgroup 0 en Direct factor of characteristic subgroup Direct factor of fully invariant subgroup 0 en Direct factor of fully invariant subgroup Subnormal subgroup 0 en Subnormal subgroup 0 2-subnormal implies conjugate-permutable#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 Subgroup-cofactorial automorphism-invariant implies left-transitively 2-subnormal#2-subnormal subgroup# 41fd7d0391c804842b168579614f366d 0 Commutator of a normal subgroup and a subset implies 2-subnormal#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 Base of a wreath product implies right-transitively 2-subnormal#2-subnormal subgroup# 41fd7d0391c804842b168579614f366d 0 Index four implies 2-subnormal or double coset index two#2-subnormal subgroup# 41fd7d0391c804842b168579614f366d 0 2-subnormal not implies hypernormalized#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 2-subnormal implies conjugate-join-closed subnormal#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 2-subnormal not implies automorph-permutable#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 2-subnormal implies join-transitively subnormal#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 0 Cofactorial automorphism-invariant implies left-transitively 2-subnormal#2-subnormal subgroup# 41fd7d0391c804842b168579614f366d 0 Base of a wreath product not implies elliptic#2-subnormal subgroup;2# db64c0f0c5645d44f8272ab0e61431d8 Proves property satisfaction of 132 en Proves property satisfaction of Uses property satisfaction of 132 en Uses property satisfaction of Stronger than 132 en Stronger than Weaker than 132 en Weaker than Page 132 en Page