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The query [[Satisfies metaproperty::Transitive subgroup property]] was answered by the SMWSQLStore3 in 0.0075 seconds.


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 Quick phrase
1-automorphism-invariant subgroup
AEP-subgroup
Abelian subgroup
Ascendant subgroup
Automorph-conjugate subgroup
Base of a wreath product
C-closed subgroup
CEP-subgroup
Central factorfactor in central product
product with centralizer is whole group
quotient action by outer automorphisms is trivial
every inner automorphism restricts to an inner automorphism
Central subgroup
Centrally closed subgroup
Characteristic central factor
Characteristic direct factor
Characteristic subgroupinvariant under all automorphisms
automorphism-invariant
strongly normal
normal under outer automorphisms
Characteristic subgroup of group of prime power order
Characteristic transitively normal subgroup
Characteristically complemented characteristic subgroup
Characteristically complemented normal subgroup
Characteristically complemented subgroup
Cocentral subgroup
Commutator-verbal subgroup
Completely distinguished subgroup
Completely divisibility-closed subgroup
Component
Composition subgroup
Conjugacy-closed characteristic subgroup
Conjugacy-closed normal subgroup
Conjugacy-closed subgroup
Conjugate-dense subgroup
Conjugate-large subgroup
Contranormal subgroup
Cyclonormal subgroup
Descendant subgroup
Direct factorfactor in internal direct product
normal with normal complement
has centralizing complement
Divisibility-closed subgroup
Finite direct power-closed characteristic subgroup
Free factor
Fully invariant subgroupinvariant under all endomorphisms
endomorphism-invariant
Fully normalized subgroup
Hall direct factor
Hall subgroup
Hereditarily normal subgroup
IA-automorphism-balanced subgroup
Image-closed characteristic subgroup
Image-closed fully invariant subgroup
Improper subgroup
Inert subgroup
Injective endomorphism-invariant subgroupinvariant under all injective endomorphisms
injective endomorphism-invariant
Isomorph-containing subgroupcontains all isomorphic subgroups
weakly closed in any ambient group
Isomorph-free subgroupno other isomorphic subgroups
no isomorphic copies
only subgroup of its isomorphism type