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 Eucyrtidioidea Ehrenberg, 1847
           Family Lophocyrtiidae Sanfilippo & Caulet, 2001
             1 Genus Aphetocyrtis Sanfilippo & Caulet, 1998
             2 Genus Apoplanius Sanfilippo & Caulet, 1998
             3 Genus Clinorhabdus Sanfilippo & Caulet, 1998, nom. illeg.
             4 Genus †Cyclampterium Haeckel, 1887
             5 Genus Lophocyrtis Haeckel, 1887
             6 Genus Paralampterium Sanfilippo, 1990
             7 Genus Sciadiopeplus Sanfilippo, 1990