Subphylum [Vertebrata] Cuvier, 1812 - vertebrates
   Class Agnatha Cope, 1889
     Subclass †Thelodonti Kiaer, 1932
       Order †Thelodontiformes Kiaer, 1932
         Family †Talivaliidae Märss, Wilson & Thorsteinsson, 2002
           1 Genus †Talivaliaᵀ Märss, Wilson & Thorsteinsson, 2002 [monotypic]
           2 Genus †Glacialepis Märss, Wilson & Thorsteinsson, 2002 [monotypic]