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 Acropyramidoidea Haeckel, 1881
Family Acropyramididae Haeckel, 1881
01 Genus Acropyramis Haeckel, 1881
02 Genus Bathropyramis Haeckel, 1881
03 Genus †Cephalopyramis Haeckel, 1881
04 Genus Cinclopyramis Haeckel, 1879
05 Genus Cladachnidium Afanasieva & Amon, 2005, nom. null.
see Genus Cladarachnium Haeckel, 1881
06 Genus Enneapleuris Haeckel, 1887
07 Genus Haliphormatidium Afanasieva & Amon, 2005, nom. null.
see Genus Haliphormartidium Campbell, 1951
08 Genus Litharachnidium Haeckel, 1887
09 Genus Litharachnium Haeckel, 1860
10 Genus Peripyramis Haeckel, 1881
11 Genus Plectopyramis Haeckel, 1881
12 Genus Polypleuris Haeckel, 1887
13 Genus Sethopyramis Haeckel, 1881
14 Genus Spongopyramis Haeckel, 1887