P-Frattini-realizable group

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This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
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Definition

A finite group, specifically a group of prime power order, is termed $p$-Frattini-realizable if it can be realized as the Frattini subgroup of a $p$-group.

Relation with other properties

Weaker properties

• Finite-Frattini-realizable group
• p-Frattini-embedded normal-realizable group

Opposite properties

• Non-Abelian cyclic-center group: For full proof, refer: p-Frattini-realizable implies not non-Abelian cyclic-center