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 †Furcacaudiformes Wilson & Caldwell, 1998 - fork-tailed thelodonts
                 Family †Pezopallichthyidae Wilson & Caldwell, 1998 [monotypic]
                   1 Genus †Pezopallichthys Wilson & Caldwell, 1998