Outsiders (PWH)

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Not a faction at all, but the absence of a faction, the Outsiders are primes that end up in Sigil without any idea of what's going on. Unlike the Indeps, who're like a faction, the Clueless (with a capital "C") have no organization at all—never mind having no facto!, no headquarters, and, most importantly, no philosophy. 
A few folks have tried to turn the Clueless into a real faction of some sort, but they've always failed. Primes who want to join a faction end up signing with one of the fifteen established groups. Even if they're not completely sold on the faction's philosophy, few newcomers want to proclaim their status as a Clueless or a prime.