Phylum Arthropoda Siebold, 1848 - arthropods Subphylum Crustacea BrĂ¼nnich, 1772 - crustaceans see Superclass Crustacea Pennant, 1777 Class Branchiopoda Latreille, 1817 - branchiopods Subclass Phyllopoda Preuss, 1951 Order Diplostraca Gerstaecker, 1866 Suborder Cladocera Latreille, 1829 - cladocerans Infraorder Anomopoda Stebbing, 1902 Family Daphniidae Straus, 1820