Chordata Bateson, 1885 - chordates
   Class †Arthrodira Woodward, 1891 - arthrodires see Order Arthrodiriformes Grande & Eastman, 1986
     Order †Stegophthalami see Class Placodermi McCoy, 1848
       23 Family †Macropetalichthyidae Eastman, 1898 [monotypic]
       24 Family †Asterosteidae Woodward, 1891 [monotypic]