Order-conjugate subgroup

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Definition

A finite subgroup of a group is termed order-conjugate if it is conjugate, in the whole group, to every subgroup of the group of the same order.

Relation with other properties

Stronger properties

• Order-dominating subgroup
• Order-unique subgroup
• Sylow subgroup

Weaker properties

• Order-isomorphic subgroup
• Order-automorphic subgroup
• Isomorph-automorphic subgroup
• Isomorph-conjugate subgroup
• Automorph-conjugate subgroup