Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Archipilioidea Haeckel, 1881
           Family Archipiliidae Haeckel, 1881
             Subfamily Lophophaeninae Haeckel, 1881
               01 Genus Acanthocoronium Haeckel, 1887
               02 Genus Cephaluspinus Alvira Martin, 1971
               03 Genus Amphiplecta Haeckel, 1881
               04 Genus Arachnocorallium Haeckel, 1887
               05 Genus Dictyocryphalus Haeckel, 1887
               06 Genus Lophophaena Ehrenberg, 1847
               07 Genus Marimoum Funakawa, 1994
               08 Genus †Ovum De Wever, 1982, nom. illeg.
               09 Genus Syscioscenium Sugiyama, 1992
               10 Genus †Thetis De Wever, 1982, nom. illeg.
               11 Genus Tripodocyrtis Funakawa, 1994