Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Eugnathostomata
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Class †Acanthodii Owen, 1846 [paraphyletic?] - acanthodians
                 1 [stem] Genus †Lupopsyroides Hanke & Wilson, 2004
                 2 Genus †Lupopsyrus Bernacsek & Dineley, 1977
                 3 Order †Climatiiformes Berg, 1940 [paraphyletic]
                 4 Order †Diplacanthiformes Berg, 1940
                 5 Order †Ischnacanthiformes Berg, 1940
                 6 Order †Acanthodiformes Berg, 1940