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
         Myopterygii Janvier, 1978 - myopterygians
           Superclass †Thelodonti Jaekel, 1911 [monotypic] - thelodonts see Superclass Thelodontomorphi Jaekel, 1911
             Class †Thelodonti Jaekel, 1911
               Order †Thelodontiformes Kiaer, 1932
                 1 Family †Coelolepididae "Pander, 1856", nom. illeg. [monotypic] see Family Thelodontidae Jordan, 1905 (1856)
                 2 Family †Lanarkiidae Obruchev, 1949
                 3 Family †Archipelepididae Märss, 2001 [monotypic]
                 4 Family †Nikoliviidae Karatajūtė-Talimaa, 1978
                 5 Family †Talivaliidae Märss, Wilson & Thorsteinsson, 2002
                 6 ?Family †Eestilepididae Märss, Wilson & Thorsteinsson, 2002 [monotypic]