[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class †Placodermi McCoy, 1848
           †Arthrodira Woodward, 1891
             Order †Phlyctaeniiformes
               Suborder †Brachythoraci Gross, 1932
                 †Pachyosteomorphi Stensiö, 1944 - pachyosteomorphs
                   †Aspinothoracidi Stensiö, 1959
                     Family †Brachydeiridae Gross, 1932
                       1 Genus †Auchenosteus Jaekel, 1927
                       2 Genus †Brachydeirus Koenen, 1880