Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Eugnathostomata
             Grade Chondrichthyomorphi [monotypic]
               Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
                 Subclass Euselachii Hay, 1902 - sharks, rays, and related fossils
                   Infraclass †Hybodonta [monotypic] - hybodonts
                     Order †Hybodontiformes Patterson, 1966
                       01 Family †Hybodontidae Agassiz, 1843
                       02 Family †Tristychiidae Moy-Thomas, 1939
                       03 Family †Distobatidae Werner, 1989
                       04 Family †Acrodontidae Giebel, 1846
                       05 Family †Polyacrodontidae Glickman, 1964
                       06 Family †Lonchidiidae Herman, 1977
                       07 Family †Steinbachodontidae Reif, 1980
                       08 Family †Pseudodalatiidae Reif, 1978
                       09 ?Family †Ptychodontidae Jaekel, 1898
                       10 ?Family †Homalodontidae Mutter, Neuman & de Blanger, 2008