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 Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Euteleostomi - bony vertebrates see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Class Sarcopterygii Romer, 1955 - lobe-finned fishes and tetrapods see [unranked] Sarcopterygii Romer, 1955
                   Subclass Dipnotetrapodomorpha Nelson, 2006 see [unranked] Dipnotetrapodomorpha Nelson, 2006
                     Rhipidistia Cope, 1887
                       Dipnomorpha Ahlberg, 1991
                         Dipnoi Müller, 1844 [monotypic] - lungfishes see Superorder Dipnoi Müller, 1844
                           Superorder †Dipterimorpha [paraphyletic?]
                             01 Family †Diabolepididae Schultze, 1993, nom. nud. [monotypic]
                             02 Family †Uranolophidae Miles, 1977
                             03 Family †Dipnorhynchidae Berg, 1940
                             04 Family †Chirodipteridae Campbell & Barwick, 1990
                             05 Family †Stomiahykidae Bernacsek, 1977
                             06 Family †Dipteridae Agassiz, 1844
                             07 Family †Rhynchodipteridae Moy-Thomas, 1939
                             08 Family †Fleurantiidae Moy-Thomas, 1939
                             09 Family †Phaneropleuridae Huxley, 1861
                             10 Family †Ctenodontidae Traquair, 1890