vertebrates Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
   Class †Pteraspidomorphi Goodrich, 1909 see Class Pteraspidomorpha
     Subclass †Heterostraci Lankester, 1868
       Order †Tesseraspidiformes Halstead, 1962
         Family †Tesseraspididae Berg, 1955, nom. praeval.
           Genus †Tesseraspis Wills, 1935
             1 †Tesseraspis tesselataᵀ Wills, 1935
             2 †Tesseraspis toombsi Tarlo, 1964
             3 †Tesseraspis mutabilis (Brotzen, 1934)
             4 †Tesseraspis orvigi Tarlo, 1964
             5 †Tesseraspis denisoni Tarlo, 1964
             6 †Tesseraspis talimaae Tarlo, 1965