# Group in which any two characteristic subgroups are comparable

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(Redirected from Characteristic-comparable group)

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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

View a complete list of group propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

## Definition

A group is termed a **group in which any two characteristic subgroups are comparable** if given any two characteristic subgroups of it, one is contained inside the other. In other words, the lattice of characteristic subgroups of the group is a totally ordered set.