Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct. see Subphylum Vertebrata Cuvier, 1812
       Vertebrata (Lamarck, 1801) - vertebrates see Subphylum Vertebrata Cuvier, 1812
         Myopterygii - myopterygians
           Superclass †Thelodonti Jaekel, 1911 [monotypic] - thelodonts
             Class †Thelodonti Jaekel, 1911
               Order †Thelodontiformes Kiaer, 1932
                 1 Family †Coelolepididae Pander, 1856 [monotypic]
                 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]