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 Holocephali Bonaparte, 1832
                   Superorder †Paraselachimorpha (Lund, 1977) see Subclass Holocephali Bonaparte, 1832
                     Order †Eugeneodontiformes Zangerl, 1981
                       1 Family †Agassizodontidae Zangerl, 1981 see Family Helicoprionidae Karpinsky, 1911
                       2 Family †Caseodontidae Zangerl, 1981
                       3 Family †Edestidae Leidy, 1857
                       4 Family †Eugeneodontidae Zangerl, 1981