[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 †Menaspiformes Patterson, 1965
                   1 Family †Menaspidae Woodward, 1891
                   2 Family †Deltoptygiidae van der Laan, 2018, orth. inval. see Family Deltoptychiidae Patterson, 1965
                   3 Family †Traquairiidae Lund & Grogan, 1997