[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
             Order †Orodontiformes Zangerl, 1981
               1 Family †Leiodontidae Ginter, Hampe & Duffin, 2010
               2 Family †Orodontidae de Koninck, 1878