Group of prime power order with no exotic fusion system

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition

A group of prime power order with no exotic fusion system is a group of prime power order that does not admit any exotic fusion system. In other words, every saturated fusion system on it arises as the fusion system induced by a finite group containing it as a Sylow subgroup.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
abelian group of prime power order Resistant group of prime power order|FULL LIST, MORE INFO
resistant group of prime power order identity functor controls strong fusion