[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class †Acanthodii Owen, 1846 - acanthodians
           Order †Acanthodiformes Berg, 1940
             1 Family †Mesacanthidae Moy-Thomas, 1939
             2 Family †Cheiracanthidae Bleeker, 1859
             3 Family †Acanthodidae Agassiz, 1844