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
                     Order †Pycnodontiformes Berg, 1937
                       1 Family †Gibbodontidae
                       2 Family †Gyrodontidae Berg, 1940
                       3 Family †Mesturidae Nursall, 1987
                       4 Family †Brembodontidae Tintori, 1980
                       5 Family †Pycnodontidae Agassiz, 1833
                       6 Family †Coccodontidae Berg, 1940
                       7 Family †Hadrodontidae Thurmond & Jones, 1981
                       8 Family †Trewavasiidae