[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
                 1 Order †Squalorajiformes Patterson, 1965 [monotypic]
                 2 Order †Chondrenchelyiformes Moy-Thomas, 1939 [monotypic]
                 3 Order †Menaspiformes Patterson, 1965
                 4 Order †Cochliodontiformes Obruchev, 1953
                 5 Chimaerimorpha [monotypic]