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The query [[Fact about.Page::Characteristic subgroup]] [[Category:Subgroup property non-implications]] was answered by the SMWSQLStore3 in 0.0318 seconds.


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Characteristic not implies amalgam-characteristic, Characteristic not implies characteristic-isomorph-free in finite, Characteristic not implies direct factor, Characteristic not implies elementarily characteristic, Characteristic not implies fully invariant, Characteristic not implies fully invariant in finite abelian group, Characteristic not implies fully invariant in finitely generated abelian group, Characteristic not implies fully invariant in odd-order class two p-group, Characteristic not implies injective endomorphism-invariant, Characteristic not implies injective endomorphism-invariant in finitely generated abelian group, Characteristic not implies isomorph-free in finite group, Characteristic not implies isomorph-normal in finite group, Characteristic not implies normal-isomorph-free, Characteristic not implies potentially fully invariant, Characteristic not implies powering-invariant in solvable group, Characteristic not implies quasiautomorphism-invariant, Characteristic not implies strictly characteristic, Characteristic not implies sub-(isomorph-normal characteristic) in finite, Characteristic not implies sub-isomorph-free in finite group, Characteristic subgroup of abelian group not implies divisibility-closed, Characteristic subgroup of abelian group not implies local powering-invariant, Direct factor not implies characteristic, Index two not implies characteristic, Left-transitively WNSCDIN not implies characteristic, Nilpotent not implies ACIC, No nontrivial homomorphism from quotient group not implies characteristic, Normal not implies characteristic, Normal-potentially characteristic not implies characteristic, P-automorphism-invariant not implies characteristic, Series-equivalent characteristic subgroups may be distinct, Upward-closed characteristic not implies cyclic-quotient in finite