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
                 Order †Arthrodiriformes Grande & Eastman, 1986 - arthrodires
                   Suborder †Brachythoraci Gross, 1932
                     †Eubrachythoraci Miles, 1971
                       †coccosteomorphs Stensiö, 1944
                         Family †Coccosteidae Traquair, 1888
                           1 Genus †Coccosteus Miller, 1841