Create Contacts under Company Group

We have business customers who have multiple stores/sites that purchase separately, but are the one parent company.
These are set up with a company group where each respective site/store is nested under (with the company group as the parent).
Often the company will have an overarching manager that is not tied to any one store or site location.
Currently we must allocate the contact to a specific site / store location - it would be helpful to create the contact directly under the company group rather than a specific site location?