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The query [[Fact about.Page::Self-centralizing subgroup]] [[Category:Subgroup property implications]] was answered by the SMWSQLStore3 in 0.0183 seconds.


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Characteristic and self-centralizing implies coprime automorphism-faithful, Maximal among abelian normal implies self-centralizing in nilpotent, Maximal among abelian normal implies self-centralizing in supersolvable, Normal and self-centralizing implies coprime automorphism-faithful, Normal and self-centralizing implies normality-large, Self-centralizing and minimal normal implies characteristic, Self-centralizing and minimal normal implies strictly characteristic