Phylum Brachiopoda Duméril, 1806 - brachiopods
Subphylum Rhynchonelliformea Williams et al., 1996
Class Rhynchonellata Williams et al., 1996
Order Terebratulida Waagen, 1883
Suborder Terebratulidina Waagen, 1883
1 Superfamily †Stringocephaloidea King, 1850
2 Superfamily †Cryptonelloidea Thomson, 1926
3 Superfamily †Dielasmatoidea Schuchert, 1913
4 Superfamily Terebratuloidea Gray, 1840
5 Superfamily †Loboidothyridoidea Makridin, 1964
6 Superfamily Dyscolioidea Fischer & Oehlert, 1891
7 Superfamily Cancellothyridoidea Thomson, 1926