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The query [[Fact about.Page::Normal subgroup]] [[Category:Subgroup metaproperty satisfactions]] was answered by the SMWSQLStore3 in 0.0073 seconds.

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Every group is normal in itself, Normality is commutator-closed, Normality is strongly UL-intersection-closed, Normality is strongly intersection-closed, Normality is strongly join-closed, Normality is upper join-closed, Normality satisfies image condition, Normality satisfies intermediate subgroup condition, Normality satisfies lower central series condition, Normality satisfies partition difference condition, Trivial subgroup is normal