Rhynchonellata
Amphiclina Laube, 1866
Amphiclinodonta Bittner, 1888
Carinokoninckina Jin & Fang, 1977
Koninckella Munier-Chalmas, 1880
Koninckina Davidson, 1853
Koninckodonta Bittner, 1893
Lamellokoninckina Jin & Fang, 1977
Pseudokoninckina Zeng, 2006
Septamphiclina
