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The query [[Variation of::Characteristicity]] was answered by the SMWSQLStore3 in 0.0137 seconds.

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 Quick phrase
1-automorphism-invariant subgroup
Automorph-commensurable subgroup
Automorph-conjugate subgroup
Elementarily characteristic subgroup
Finite direct power-closed characteristic subgroup
Injective endomorphism-invariant subgroupinvariant under all injective endomorphisms
injective endomorphism-invariant
Intermediately characteristic subgroup
Isomorph-free subgroupno other isomorphic subgroups
no isomorphic copies
only subgroup of its isomorphism type
Lattice automorphism-invariant subgroup
Projectivity-invariant subgroup
Purely definable subgroup
Quasiautomorphism-invariant subgroup
Strictly characteristic subgroupinvariant under all surjective endomorphisms
surjective endomorphism-invariant
Surjective endomorphism-balanced subgroup
Transfer-closed characteristic subgroup