Retrieve AdminOrgType for Organization

The OrganizationCRUD sample shows how to Create, Update and Delete an AdminOrgType but it doesn't show how to retrieve one.   I know I can retrieve the AdminOrganization with this:

            var adminOrgRef = admin.GetAdminOrgRefByName(org.Name);

            var adminOrganization = AdminOrganization.GetAdminOrgByReference(Client, adminOrgRef);

But if I wanted to get the AdminOrgType back, or query it by name, etc.. What would be the best way to do that?

Is the only way to get one to make a request to the /api/admin/org/{id}  and parse through the xml?