Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct. see Subphylum Vertebrata Cuvier, 1812
       Vertebrata (Lamarck, 1801) - vertebrates see Subphylum Vertebrata Cuvier, 1812
         Myopterygii - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade †Placodermiomorphi [monotypic]
               Class †Placodermi McCoy, 1848
                 1 ?Order †Stensioelliformes
                 2 ?Order †Pseudopetalichthyiformes
                 3 Order †Acanthothoraciformes
                 4 Order †Rhenaniformes
                 5 Order †Antiarchiformes Grande & Eastman, 1986 - antiarchs
                 6 Order †Petalichthyiformes
                 7 Order †Ptyctodontiformes [monotypic]
                 8 Order †Arthrodiriformes Grande & Eastman, 1986 - arthrodires