Superphylum Deuterostomia Grobben, 1908 - deuterostomes
see Infrakingdom Deuterostomia Grobben, 1908
Phylum Chordata Bateson, 1885 - chordates
Subphylum Craniata auct.
Vertebrata Lamarck, 1801 - vertebrates
see Infraphylum Vertebrata Lamarck, 1801
Myopterygii Janvier, 1978 - myopterygians
Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
Grade Teleostomi Bonaparte, 1836
see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
Class †Acanthodii Owen, 1846 - acanthodians
Order †Ischnacanthiformes Berg, 1940
Family †Ischnacanthidae Woodward, 1891
Genus †Atopacanthus Hussakof & Bryant, 1920