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 Actinopterygii Woodward, 1891 - ray-finned fishes see Class Actinopterygii Woodward, 1891
                   [crown] Neopterygii Regan, 1923 see Subclass Neopterygii Regan, 1923
                     Order †Pycnodontiformes Berg, 1937, incertae sedis
                       1 Family †Gibbodontidae Nursall, 1999
                       2 Family †Gyrodontidae Berg, 1940
                       3 Family †Mesturidae Nursall, 1996
                       4 Family †Brembodontidae Tintori, 1981
                       5 Family †Pycnodontidae Agassiz, 1833
                       6 Family †Coccodontidae Berg, 1940
                       7 Family †Hadrodontidae Thurmond & Jones, 1981
                       8 Family †Trewavasiidae Nursall, 1996 see Family Coccodontidae Berg, 1940