Decapoda Latreille, 1802
Archaeotetra Schweitzer, 2005
Calocarcinus Calman, 1909
Eomaldivia Müller & Collins, 1991
Hexagonalia Galil, 1986
Hexagonaloides Komai, Higashiji & Castro, 2010
Paratetralia Beschin, Busulini, De Angeli & Tessier, 2007
Philippicarcinus Garth & Kim, 1983
Quadrella Dana, 1851
Sphenomerides Rathbun, 1897
Trapezia Latreille, 1828