[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class †Acanthodii Owen, 1846 - acanthodians
           1 Family †Machaeracanthidae Burrow & Young, 2005, incertae sedis
           2 Family †Sinacanthidae Zhu, 1998, incertae sedis
           3 Family †Tchunacanthidae Karatajūtė-Talimaa & Smith, 2003, incertae sedis
           4 Order †Diplacanthiformes Berg, 1940
           5 Order †Ischnacanthiformes Berg, 1940
           6 Order †Acanthodiformes Berg, 1940
           7 Order †Climatiiformes Berg, 1940