[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
                 Chimaerimorpha [monotypic]
                   Order Chimaeriformes Obruchev, 1953 - chimaeras
                     1 Suborder †Echinochimaeroidei [monotypic]
                     2 Suborder †Myriacanthoidei Patterson, 1965
                     3 Suborder Chimaeroidei Patterson, 1965 - chimaeras