Subphylum [Vertebrata] Cuvier, 1812 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
   Class Agnatha Cope, 1889
     Subclass †Thelodonti Kiaer, 1932
       1 Order †Loganelliiformes Turner, 1991
       2 Order †Shieliiformes Märss, Wilson & Thorsteinsson, 2002 [monotypic]
       3 Order †Phlebolepidiformes Berg, 1937
       4 Order †Thelodontiformes Kiaer, 1932
       5 Order †Furcacaudiformes Wilson & Caldwell, 1998 - fork-tailed thelodonts