Subgroup comparable with all characteristic subgroups

Definition

A subgroup $H$ of a group $G$ is termed comparable with all characteristic subgroups if, for any characteristic subgroup $N$ of $G$, either $N\le H$ or $H\le N$.

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]

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VIEW RELATED: Subgroup property implications | Subgroup property non-implications | Subgroup metaproperty satisfactions | Subgroup metaproperty dissatisfactions | Subgroup property satisfactions |Subgroup property dissatisfactions
VIEW FACTS THAT:use, or start with, a subgroup satisfying the property|prove, or show that, a subgroup satisfies the property