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 Holocephali Bonaparte, 1832
                   Superorder Holocephalimorpha Lund, 1986
                     Cochliodontomorpha
                       Order Chimaeriformes Obruchev, 1953 - chimaeras
                         1? Suborder †Echinochimaeroidei [monotypic]
                         2 Suborder †Myriacanthoidei Patterson, 1965
                         3 Suborder Chimaeroidei Patterson, 1965 - chimaeras