Phylum Brachiopoda Duméril, 1806 - brachiopods
   Subphylum Rhynchonelliformea Williams et al., 1996
     Class Rhynchonellata Williams et al., 1996
       Order †Orthida Schuchert & Cooper, 1932
         Suborder †Orthidina Schuchert & Cooper, 1932
           Superfamily †Plectorthoidea Schuchert & Le Vene, 1929
             01 Family †Plectorthidae Schuchert & Le Vene, 1929
             02 Family †Cremnorthidae Williams, 1963
             03 Family †Cyclocoeliidae Schuchert & Cooper, 1931
             04 Family †Eoorthidae Walcott, 1908
             05 Family †Euorthisinidae Havlicek, 1977
             06 Family †Finkelnburgiidae Schuchert & Cooper, 1931
             07 Family †Giraldiellidae Williams et al., 2000
             08 Family †Phragmorthidae (Williams, 1965)
             09 Family †Platystrophiidae Schuchert, 1929
             10 Family †Ranorthidae Havlicek, 1949
             11 Family †Rhactorthidae Williams, 1963
             12 Family †Tasmanorthidae Laurie, 1991
             13 Family †Wangyuiidae Zhang, 1989