Class †Algospongia Termier, Termier & Vachard, 1977, incertae sedis
   Order †Moravamminida Pokorny, 1951
     Suborder †Wetheredellina Vachard & Cózar, 2010
       Family †Asphaltinidae Vachard & Cózar, 2010
         1 Genus †Asphaltina Mamet, 1972
         2 Genus †Asphaltinoides Devera, 1987
         3 Genus †Permocatena Vachard & Miconnet, 1990