Phylum Mollusca Linnaeus, 1758 - molluscs Class Cephalopoda Cuvier, 1795 - cephalopods Subclass Nautiloida Agassiz, 1848 see Subclass Nautiloidea Agassiz, 1848 Order Nautilida Agassiz, 1848 1 Suborder Nautilina Agassiz, 1848