Isoclinism-invariant group property

This article defines a group metaproperty: a property that can be evaluated to true/false for any group property
View a complete list of group metaproperties

Definition

Let $\alpha$ be a group property. We say that $\alpha$ is isoclinism-invariant if the following is true: whenever $G$ and $H$ are isoclinic groups, $G$ satisfies $\alpha$ if and only if $H$ satisfies $\alpha$.