[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
           Subclass Holocephali Bonaparte, 1832
             Superorder Holocephalimorpha Lund, 1986
               Cochliodontomorpha
                 Order †Cochliodontiformes Obruchev, 1953
                   Family †Cochliodontidae Owen, 1867
                     1 Genus †Cochliodus Agassiz, 1838
                     2 Genus †Radamas Münster, 1843
                     3 Genus †Deltodus Morris & Roberts, 1862