Phylum Mollusca Linnaeus, 1758 - molluscs Class Cephalopoda Cuvier, 1795 - cephalopods Subclass Coleoida Bather, 1888 see Subclass Coleoidea Bather, 1888 Order Teuthida Naef, 1916 Suborder Oegopsida d'Orbigny, 1845 see Suborder Oegopsina Orbigny, 1845 Genus Parateuthis Thiele, 1920