Order-normal subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]


A finite subgroup H of a group G is termed an order-normal subgroup if every subgroup of G having the same order as H is a normal subgroup of G.

Relation with other properties

Stronger properties

Weaker properties