Your main institution should be of type org:FormalOrganization and aiiso:Institution.
Sub-units should have org:subOrganizationOf and org:hasSubOrganization relationships with their containing unit.
Sub-units may be included to any degree of detail, but it is strongly recommended that all units referenced in other parts of the open linked data for the org. should be listed in the organogram document
If your institution is collegiate, then each college should be of type org:FormalOrganization and aiiso:College.
(TODO: Determine how to associate a college with a university to which it is affiliated.)
<rdf:RDF …> <aiiso:Institution rdf:about="#university-of-example"> <rdf:type rdf:resource="http://www.w3.org/ns/org#FormalOrganization"/> <rdfs:label>University of Example</rdfs:label> <org:hasSubOrganization> <aiiso:Division rdf:about="#humanities-division"> <rdfs:label>Humanities Division</rdfs:label> <org:subOrganizationOf rdf:resource="#university-of-example"/> </aiiso:Division> </org:hasSubOrganization> </aiiso:Institution> </rdf:RDF>