Chordata Bateson, 1885 - chordates
   Class †Arthrodira Woodward, 1891 - arthrodires see Order Arthrodiriformes Grande & Eastman, 1986
     Order †Stegophthalami see Class Placodermi McCoy, 1848
       Family †Asterosteidae Woodward, 1891 [monotypic]
         1 Genus †Asterosteus Newberry, 1875