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
         Superclass †Pteraspidomorphi Goodrich, 1909 [monotypic]
           Class †Pteraspidomorphi Goodrich, 1909 see Class Pteraspidomorpha
             Subclass †Heterostraci Lankester, 1868
               Order †Pteraspidiformes Berg, 1940
                 Family †Pteraspididae Claypole, 1885
                   1 Genus †Errivaspis Blieck, 1984
                   2 Genus †Pteraspis Kner, 1847
                   3 Genus †Rhinopteraspis Jaekel, 1919
                   4 Genus †Unarkaspis Elliott, 1983