Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Grade †Placodermiomorphi [monotypic]
             Class †Placodermi McCoy, 1848 [paraphyletic?]
               Order †Arthrodiriformes Grande & Eastman, 1986 - arthrodires see [unranked] Arthrodira Woodward, 1891
                 1 Suborder †Actinolepidoidei Miles, 1973 see Order Actinolepidiformes
                 2.1 Suborder †Phyllolepidoidei [monotypic] see Order Actinolepidiformes
                 2.2? Family †Antarctaspididae White, 1968, nom. praeval.
                 3 Suborder †Phlyctaenioidei
                 4 Suborder †Brachythoracoidei - brachythoracoids see Suborder Brachythoraci Gross, 1932