Phylum Brachiopoda Duméril, 1806 - brachiopods
   Subphylum Rhynchonelliformea Williams et al., 1996
     Class Rhynchonellata Williams et al., 1996
       Order Rhynchonellida Kuhn, 1949
         01 Superfamily †Ancistrorhynchoidea Cooper, 1956
         02 Superfamily †Rhynchotrematoidea Schuchert, 1913
         03 Superfamily †Uncinuloidea Rzonsnitskaya, 1956
         04 Superfamily †Camarotoechioidea Schuchert, 1929
         05 Superfamily Pugnacoidea Rzhonsnitskaia, 1956
         06 Superfamily †Stenoscismatoidea Oehlert, 1887
         07 Superfamily †Lambdarinoidea Brunton & Champion, 1974
         08 Superfamily †Rhynchoporoidea Muir-Wood, 1955
         09 Superfamily Dimerelloidea Buckman, 1918
         10 Superfamily †Rhynchotetradoidea Licharew, 1956
         11 Superfamily †Wellerelloidea Licharew, 1956
         12 Superfamily †Rhynchonelloidea d'Orbigny, 1847
         13 Superfamily Norelloidea Ager, 1959
         14 Superfamily Hemithiridoidea Rzhonsnitskaya, 1956