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
                 [stem] Order †Omalodontiformes Turner, 1997
                   1 Family †Aztecodontidae Hairapetian, Ginter & Yazdi, 2008
                   2 Family †Omalodontidae Ginter, Liao & Valenzuela-Ríos, 2008