This paper describes a distinctive system of nominal subclasses observed in Dalabon, a non-Pama-Nyungan, Gunwinyguan language of south-western Arnhem Land, Australia. These subclasses differ from what is usually called noun classes in Australian languages, and no such system has been described for an Australian language so far. While most Gunwinyguan languages use noun class prefixes offering an overt categorization of noun classes, Dalabon has no such prefixes. On the other hand, six semantically coherent nominal subclasses can be delineated based on four inter-related criteria-noun incorporation, boundness, obligatory possession and possessor raising. These subclasses are animate-part nouns (incorporable, strictly bound, obligatorily possessed, raising their possessors freely), kin-terms (incorporable, strictly bound, obligatorily possessed, raising their possessor when incorporated), inanimate-part nouns (incorporable, strictly bound, not obligatorily possessed), features of the landscape (incorporable, semi-bound, not obligatorily possessed), natural-kind nouns (non-incorporable) and generic nouns (incorporable free nouns). Some of the subclasses qualify as more or less inalienable. Along the way, the article discusses various aspects of Dalabon grammar such as word classes, noun incorporation and possessive constructions. The nominal subclass divisions also shed light upon some the distribution and semantics of the ubiquitous-no suffix, which remained obscure hitherto.