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
             1 Order †Tesakoviaspidida Karatajute-Talimaa & Smith, 2004, incertae sedis [monotypic] see Order Astraspidiformes Berg, 1940
             2 Subclass †Astraspida Berg, 1940
             3.1 Subclass †Arandaspida [monotypic]
             3.2 Subclass †Heterostraci Lankester, 1868