Subphylum [Vertebrata] Cuvier, 1812 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
   Class Agnatha Cope, 1889
     Subclass †Thelodonti Kiaer, 1932
       Order †Thelodontiformes Kiaer, 1932
         1 Family †Coelolepididae "Pander, 1856", nom. illeg. [monotypic] see Family Thelodontidae Jordan, 1905 (1856)
         2 Family †Lanarkiidae Obruchev, 1949
         3 Family †Turiniidae Obruchev, 1964
         4 Family †Apalolepididae Turner, 1976
         5 Family †Nikoliviidae Karatajūtė-Talimaa, 1978
         6 Family †Boothialepididae Märss, 1999
         7 Family †Archipelepididae Märss, 2001 [monotypic]
         8 Family †Talivaliidae Märss, Wilson & Thorsteinsson, 2002
         9 ?Family †Eestilepididae Märss, Wilson & Thorsteinsson, 2002 [monotypic]