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 †Hybodonta [monotypic] see Infraclass Hybodonta
                       Order †Hybodontiformes Patterson, 1966
                         Family †Hybodontidae Agassiz, 1843
                           01 Genus †Acrodus Agassiz, 1834
                           02 Genus †Asteracanthus Agassiz, 1837
                           03 Genus †Hamiltonichthys Maisey, 1989
                           04 Genus †Hybodus Agassiz, 1834
                           05 Genus †Lissodus Brough, 1935
                           06 Genus †Lonchidion Estes, 1964
                           07 Genus †Palaeobates Meyer, 1849
                           08 Genus †Polyacrodus Jaekel, 1889
                           09 Genus †Protacrodus Jaekel, 1925
                           10 Genus †Pseudodalatias Reif, 1978
                           11 Genus †Ptychodus Agassiz, 1837
                           12 Genus †Steinbachodus Reif, 1980
                           13 Genus †Tribodus Brito & Ferreira, 1989