Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Eugnathostomata
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Class Osteichthyes Huxley, 1880 - bony fishes and tetrapods see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Subclass Sarcopterygii Romer, 1955 - lobe-finned fishes and tetrapods see [unranked] Sarcopterygii Romer, 1955
                   Dipnotetrapodomorpha Nelson, 2006
                     Rhipidistia Cope, 1887
                       Infraclass Dipnomorpha Ahlberg, 1991 see [unranked] Dipnomorpha Ahlberg, 1991
                         Superorder Dipnoi Müller, 1844 see Class Dipneusti
                           Order †Dipteriformes
                             1 Family †Stomiahykidae Bernacsek, 1977
                             2 Family †Dipteridae Agassiz, 1844
                             3 Family †Chirodipteridae Campbell & Barwick, 1990
                             4 Family †Rhynchodipteridae Moy-Thomas, 1939
                             5 Family †Phaneropleuridae Huxley, 1861
                             6 Family †Fleurantiidae Moy-Thomas, 1939