It's not that they have two divisions - they just offer more than only Nadcap now. (Nadcap is no longer all caps - PRI dropped it as an acronym when they expanded it from strictly aerospace and defense.)
PRI offers Nadcap for special processes, MedAccred for medical, PRI Registrar for AS91XX and ISO14001 and ISO45001, PRI Training, and they have other qualification stuff they do. There are links to all of them, and to eAuditNet, on the PRI website homepage.
In order for a company to hold any Nadcap accreditations, they must also be AS9100 registered, or accredited to Nadcap AC7000 for baseline requirements, in addition to the special process ACs listed in their scope.