Phylum [Vertebrata] Lamarck, 1801 see Infraphylum Vertebrata Lamarck, 1801
   Class Agnatha Cope, 1889
     Subclass †Cephalaspidomorphi Kiaer & Stensiö, 1920 see Class Agnatha Cope, 1889
       Order †Anaspida Traquair - anaspids see Class Anaspida Traquair
         1 Genus †Jamoytius White, 1946
         2 Genus †Pharyngolepis Kiaer, 1911