Phylum Brachiopoda

Palliobraches | De Blainville, 1814
Spirobrachiophora | Gray, 1821
Palliobrachiata | De Blainville, 1824
Brachionopoda | Agassiz, 1848
Brachionacephala | Bronn, 1862
Brachionoconchae | Bronn, 1862