Rhynchonellata
Bittnerula Hall & Clarke, 1894
Flabellocyrtia Chorowitz & Termier, 1976
Hirsutella Cooper & Muir-Wood, 1951
Leiolepismatina
Neocyrtina
Spiriferinoides Tokuyama, 1957
Thecocyrtella Bittner, 1892
Thecocyrtelloidea Yang & Xu, 1966
