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 Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836
               Euteleostomi - bony vertebrates
                 Class Actinopterygii Woodward, 1891 - ray-finned fishes
                   Subclass Neopterygii Regan, 1923
                     1 Genus †Acentrophorus Traquair, 1877, incertae sedis
                     2 Family †Gebrayelichthyidae Nursall & Capasso, 2004, incertae sedis [monotypic]
                     3 Order †Macrosemiiformes [monotypic]
                     4 Order †Semionotiformes Aramboug & Bertin, 1958
                     5 Order Lepisosteiformes Hay, 1929 [monotypic] - gars
                     6? Order †Pycnodontiformes Berg, 1937
                     7 Halecomorphi Cope, 1872 see Division Halecomorphi Cope, 1872
                     8? Order †Aspidorhynchiformes Bleeker, 1859 [monotypic]
                     9.1 [plesion] Order †Pachycormiformes Berg, 1940 [monotypic]
                     9.2 Division Teleostei Müller, 1845 see Infraclass Teleostei Müller, 1845