Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Vertebrata Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
         Myopterygii Janvier, 1978 - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Chondrichthiomorphi see Grade Chondrichthyomorphi
               Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
                 Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes see Infraclass Elasmobranchii Bonaparte, 1838
                   Infraclass Euselachii Hay, 1902 - sharks and rays, and related fossils see Subclass Euselachii Hay, 1902
                     Division Neoselachii Compagno, 1977 see Infraclass Elasmobranchii Bonaparte, 1838
                       Subdivision Selachii - sharks see Division Selachii
                         Superorder Galeomorphi Compagno, 1973
                           ?Family †Palaeospinacidae Regan, 1906
                             1 Genus †Nemacanthus Agassiz, 1837
                             2 Genus †Palaeospinax Egerton, 1872, nom. dub.
                             3 Genus †Paraorthacodus Glickman, 1957
                             4 Genus †Synechodus Woodward, 1888