Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Vertebrata Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
         Myopterygii Janvier, 1978 - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade †Placodermiomorphi [monotypic]
               Class †Placodermi McCoy, 1848
                 Order †Arthrodiriformes Grande & Eastman, 1986 - arthrodires see [unranked] Arthrodira Woodward, 1891
                   .1 Family †Camuropiscidae Dennis & Miles, 1979
                   .2 Family †Dinichthyidae Newberry, 1885
                   .3 Genus †Hadrosteus Gross, 1932
                   .4 Family †Mylostomatidae Woodward, 1891
                   .5 Family †Panxiosteidae Wang, 1979
                   .6 Family †Selenosteidae Dean, 1901
                   .7 Family †Titanichthyidae Dean, 1901
                   .8 Family †Wuttagoonaspidae Ritchie, 1973 see Family Wuttagoonaspididae Ritchie, 1973, nom. praeval.
                   1 Suborder †Actinolepidoidei Miles, 1973 see Order Actinolepidiformes
                   2.1? Family †Antarctaspidae White, 1968 see Family Antarctaspididae White, 1968, nom. praeval.
                   2.2 Suborder †Phyllolepida Stensiö, 1934 [monotypic] see Suborder Phyllolepidoidei
                   3 Suborder †Phlyctaeniida see Suborder Phlyctaenioidei
                   4 Suborder †Brachythoraci Gross, 1932