Cyclostomatida or Cyclostomata, are an order of stenolaemate bryozoans consisting of 7+ suborders, 59+ families, 373+ genera, 666+ species.
Suborder Articulina (2+ families, 9+ genera, 10+ species) Family Crisiidae (8+ genera, 9+ species) Family Crisuliporidae (1+ genera, 1+ species) Suborder Paleotubuliporina (4+ families, 4+ genera, 47+ species) Family Corynotrypidae (4+ genera, 27+ species) Family Sagenellidae (2+ genera, 2+ species) Family Crownoporidae (7+ genera, 17+ species) Family Kukersellidae (1+ genera, 1+ species) Suborder Tubuliporina (22 families, 175+ genera, 384+ species) Family Stomatoporidae (8+ genera, 16+ species) Family Cinctiporidae (4+ genera, 8+ species) Family Oncousoeciidae (5+ genera, 47+ species) Family Oncousoeciidae (22+ genera, 69+ species) Family Tubuliporidae (7+ genera, 10+ species) Family Diploclemidae (1+ Genus 1+ species) Family Multiparsidae (1+ genera, 1+ species) Family Diploclemidae (40+ genera, 74+ species) Family Celluliporidae (8+ genera, 8+ species) Family Plagioeciidae (38+ genera, 64+ species) Family Eleidae (8+ genera, 8+ species) Family terviidae (4+ genera, 6+ species) Family Spiroporidae (1+ Genus, 1+ species) Family Diastoporidae (4+ genera, 7+ species) Family Annectocymidae (1+ genera, 5+ species) Family Bereniceidae (1+ genera, 1+ species) Family Filisparsidae (3+ genera, 3+ species) Family Mecynoeciidae (1+ genera, 1+ species) Family Diaperoeciidae (3+ genera, 3+ species) Family Entalophoridae (11+ genera, 11+ species) Family Pustuloporidae (3+ genera, 3+ species) Suborder Fascilculina (8+ families, 34+ genera, 55+ species) Family Frondiporidae (9+ genera, 11+ species) Family Fasciculiporidae (1+ genera, 1+ species) Family Fascigeridae (1+ genera, 1+ species) Family Theonoidae (14+ genera, 23+ species) Family Actinoporidae (1+ genera, 9+ species) Family Siphoniotyphlidae (2+ genera, 2+ species) Family Hastingsiidae (1+ genera, 3+ species) Family Semiceidae (5+ genera, 5+ species) Suborder Cancellata (11+ families, 89+ genera, 99+ species) Family Horneridae (5+ genera, 8+ species) Family Stigmatoechidae (1+ genera, 1+ species) Family Stegohorneridae (1+ genera, 1+ species) Family Petaloporidae (13+ genera, 13+ species) Family Calvetiidae (1+ genera, 1+ species) Family Crisinidae (15+ genera, 18+ species) Family Crassodiscoporidae (1+ genera, 1+ species) Family Ctyididae (27+ genera, 28+ species) Family Pseudidmoneidae (1+ genera, 1+ species) Family Radioporidae (23+ genera, 26+ species) Family Canaliporidae (1+ genera, 1+ species) Suborder Cerioporina (10+ families, 60+ genera, 69+ species) Family Cerioporidae (40+ genera, 47+ species) Family Heteroporidae (2+ genera, 2+ species) Family Leiosoeciidae (4+ genera, 4+ species) Family Densiporidae (1+ genera, 1+ species) Family Tretocycloeciidae (1+ genera, 1+ species) Family Cavidae (3+ genera, 5+ species) Family Corymboporidae (4+ genera, 4+ species) Family Gungellidae (1+ genera, 1+ species) Family Pseudocerioporidae (1+ genera, 1+ species) Suborder Rectangulata (2+ families, 2+ genera, 2+ species) Family Lichenoporidae (1+ genera, 1+ species) Family Disporellidae (1+ genera, 1+ species)
References http://www.alientravelguide.com/science/biology/life/animals/bryozoa/stenolae/cyclosto/