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
               Class †Acanthodii Owen, 1846
                 Order †Acanthodiformes Berg, 1940
                   Family †Acanthodidae Huxley, 1861
                     1 Genus †Acanthodes Agassiz, 1833
                     2 Genus †Acanthodopsis Hancock & Atthey, 1868
                     3 Genus †Howittacanthus Long, 1986
                     4 Genus †Traquairichthys Whitley, 1933