The genera Anolotichia Ulrich and Bythotrypa Ulrich are redefined and, together with the new genus Crassaluna and, tentatively, Scenellopora Ulrich, are placed in the new family Anolotichiidae. These Ordovician genera are removed from the family Ceramoporidae because of their distinctive wall microstructure and irregular cystlike or boxlike interzooecial spaces ('mesopores' or 'cystopores'). Because of the rediscovery of lunaria in post-Paleozoic lichenoporoid cyclostomes and the suggested phylogenetic relationship between the Paleozoic ceramoporoids and fistuliporoids and the lichenoporoids, the order Cystoporata probably should be expanded to include the lichenoporoid cyclostomes.