Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass †Pteraspidomorphi Goodrich, 1909 [monotypic]
           Class †Pteraspidomorpha
             1 Order †Tesakoviaspidida Karatajute-Talimaa & Smith, 2004, incertae sedis [monotypic] see Order Astraspidiformes Berg, 1940
             2 Subclass †Astraspida Berg, 1940 [monotypic]
             3 Subclass †Arandaspida [monotypic]
             4 Subclass †Heterostraci Lankester, 1868