[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 †Climatiiformes Berg, 1940
             1 Family †Climatiidae Berg, 1940, "nom. praeval."
             2 Family †Gyracanthidae Woodward, 1906
             3 Family †Vesperaliidae Valiukevičius & Burrow, 2005
             4 Family †Euthacanthidae Berg, 1940
             5 Family †Brochoadmonidae Bernacsek & Dineley, 1977