"Heterococcoliths"
   "Muroliths"
     Order Stephanolithiales (Bown & Young, 1997)
       Family †Parhabdolithaceae Bown (1987)
         Genus †Bucanthus Bown (1987)
         Genus †Crucirhabdus Prins ex Rood, Hay & Barnard (1973)
         Genus †Diductius Goy (1979)
         Genus †Mitrolithus G. Deflandre, in G. Deflandre & C. Fert (1954)
         Genus †Parhabdolithus Deflandre, in Grassé (1952)
         Genus †Saeptella Goy (1979)
         ?Genus †Thurmannolithion Grun & Zweili (1980)
         ?Genus †Timorella Bown (1987)
         ?Genus †Umbria Bralower & Thierstein (1989)