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The query [[Fact about.Page::Contranormal subgroup]] was answered by the SMWSQLStore3 in 0.0091 seconds.


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 UsesFact about
Abelian normal subgroup of core-free maximal subgroup is contranormal implies derived subgroup of whole group is monolithSecond isomorphism theorem
Abelianness is quotient-closed
Primitive group (?)
Core-free maximal subgroup (?)
Abelian normal subgroup (?)
Contranormal subgroup (?)
Derived subgroup (?)
Contranormal not implies self-normalizingContranormal subgroup (2)
Self-normalizing subgroup (2)
Contranormality is UL-join-closedNormality satisfies transfer conditionContranormal subgroup (1)
UL-join-closed subgroup property (2)
Contranormality is transitiveContranormal subgroup (1)
Transitive subgroup property (2)
Contranormality is upper join-closedNormality satisfies transfer conditionContranormal subgroup (1)
Upper join-closed subgroup property (2)
Equivalence of definitions of weakly abnormal subgroupWeakly abnormal subgroup (1)
Self-normalizing subgroup (?)
Contranormal subgroup (?)
Join of two 3-subnormal subgroups may be proper and contranormal3-subnormal subgroup (?)
Subnormal subgroup (?)
Contranormal subgroup (?)
Nilpotent implies no proper contranormal subgroupNilpotent implies every subgroup is subnormalNilpotent group (2)
Contranormal subgroup (2)
Self-normalizing not implies contranormalSelf-normalizing subgroup (2)
Contranormal subgroup (2)
Normal closure (?)
Subnormality is not finite-join-closedJoin of two 3-subnormal subgroups may be proper and contranormalSubnormal subgroup (1)
Finite-join-closed subgroup property (2)
Contranormal subgroup (2)