[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
                 Family †Homostiidae Eastman, 1907
                   1 Genus †Homostius Asmuss, 1856
                   2 Genus †Euleptaspis White & Moy-Thomas, 1940
                   3 Genus †Burrinjucosteus White, 1978
                   4 Genus †Goodradigbeeon White, 1978