Phylum [Vertebrata] Lamarck, 1801 see Infraphylum Vertebrata Lamarck, 1801
   Class Agnatha Cope, 1889
     Subclass †Pteraspidomorphi Goodrich, 1909 see Class Pteraspidomorphi Goodrich, 1909
       Order †Heterostraci Lankester, 1868 - heterostracans see Subclass Heterostraci Lankester, 1868
         Family †Pteraspidae see Family Pteraspididae Claypole, 1885
           1 Genus †Pteraspis Kner, 1847
           2 Genus †Doryaspis White, 1935