[[Uses property satisfaction of::normal subgroup]]

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	Uses	Fact about
Cartan-Brauer-Hua theorem		Normal subgroup
Normal implies join-transitively subnormal	Join of normal and subnormal implies subnormal of same depth	Normal subgroup Join-transitively subnormal subgroup
Normal implies permutable		Normal subgroup Permutable subgroup Product of subgroups
Normal of least prime order implies central		Normal subgroup
Normality is strongly intersection-closed		Normal subgroup Strongly intersection-closed subgroup property Intersection of subgroups
Normality satisfies image condition		Normal subgroup Image condition
Normality satisfies intermediate subgroup condition		Normal subgroup Intermediate subgroup condition
Proper and normal in quasisimple implies central	Second isomorphism theorem Normality satisfies image condition	Normal subgroup Quasisimple group Group in which every proper normal subgroup is central
Totally disconnected and normal in connected implies central		Normal subgroup

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