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 Actinopterygii Woodward, 1891 - ray-finned fishes see Clade Actinopterygii Woodward 1891 [Moore & Near 2020]
                   Subclass Neopterygii Regan, 1923
                     Order †Pycnodontiformes Berg, 1937
                       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