Subphylum [Vertebrata] Cuvier, 1812 - vertebrates
   Class Agnatha Cope, 1889
     Subclass †Thelodonti Kiaer, 1932
       Order †Thelodontiformes Kiaer, 1932
         Family †Coelolepididae Pander, 1856 [monotypic]
           Genus †Thelodus Agassiz, 1839
             1 †Thelodus parvidensᵀ Agassiz, 1839
             2 †Thelodus inauditus Märss, Wilson & Thorsteinsson, 2002