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
               1 Genus †Apalolepis Karatajute-Talimaa, 1968, incertae sedis
               2 Genus †Stroinolepis Marss & Karatajute-Talimaa, 2002, incertae sedis
               3 Genus †Turinia Traquair, 1896, incertae sedis
               4 Order †Loganelliiformes Turner, 1991
               5 Order †Shieliiformes Märss, Wilson & Thorsteinsson, 2002 [monotypic]
               6 Order †Phlebolepidiformes Berg, 1937
               7 Order †Thelodontiformes Kiaer, 1932
               8 Order †Furcacaudiformes Wilson & Caldwell, 1998 - forktail thelodonts