řád Phacopida
podřád Calymenina:
- rody čeledi Bathycheilidae: Bathycheilus (=Parabathycheilus), Calymenia, Eulomina.
Bathycheilus
- rody čeledi Bavarillidae: Bavarilla, Holoubkocheilus.
Bavarilla
- rody čeledi Calymenidae: Alcymene, Apocalymene, Arcticalymene, Calymene (/Calymena/Calymaena/ Calymmene/Calymmena), Calymenella, Calymenesun, Colpocoryphe (=Thoralocoryphe), Dekalymene, Diacalymene, Flexicalymene, Gravicalymene, Limbocalymene, Linguocalymene, Liocalymene, Metacalymene, Neseuretinus, Neseuretus (=Synhomalonotus), Nipponocalymene, Onnicalymene, Papillicalymene, Paracalymene, Platycalymene (=Sulcocalymene), Pradoella, Protocalymene, Reacalymene, Reedocalymene, Salterocoryphe, Sarrabesia, Spathacalymene, Sthenarocalymene, Tapinocalymene, Thelecalymene, Vietnamia.
Arcticalymene
Calymene
Calymenella
Colpocoryphe
Diacalymene
Flexicalymene
Gravicalymene
Metacalymene
Neseuretus
Platycalymene
Reedocalymene
Salterocoryphe
Spathacalymene
- rody čeledi Carmonidae nov.?: Carmon BARRANDE, 1872
Carmon mutilus
- rody čeledi Homalonotidae: Arduennella, Brongniartella (=Pamirotellus; =Portaginus), Burmeisterella. Burmeisteria, Digonus, Dipleura, Eohomalonotus (/Brongniartia SALTER), Homalonotus, Huemacaspis, Iberocoryphe, Kerfornella, Leiostegina, Parahomalonotus, Plaesiacomia, Platycoryphe (=Liangshanaspis), Scabrella, Spiniscabrella, Trimerus, Wendorfia.
Arduennella
Brongniartella
Burmeisterella
Burmeisteria
Digonus
Dipleura
Homalonotus (delphinocephalus, knighti)
Kerfornella
Parahomalonotus
Plaesiacomia
Platycoryphe
Scabrella
Spiniscabrella
Trimerus
Wendorfia
- rody čeledi Pharostomatidae: Eopharostoma, Paivinia, Pharostomina (=Colpocoryphoides), Prionocheilus (=Pharostoma), Ptychometopus, Thulincola (=Pharostomaspis), Xuanenia.
Prionocheilus
podřád Phacopina:
nadčeleď Phacopoidea:
- rody čeledi Phacopidae: Acernaspis (=Eskaspis; =Otadenus; =Murphycops), Acuticryphops, Adastocephalum, Afrops, Ainasuella, Altaesajania, Ananaspis, Angulophacops, Arduennops, Atopophacops, Babinops, Barrandeops, Boeckops, Burtonops, Chotecops (=Cordapeltis), Cryphops (/Gortania/Microphthalmus), Cultrops, Denckmannites (/Denckmannia), Dianops, Dienstina, Drotops, Ductina, Echidnops, Echinophacops, Eldredgeops, Eocryphops, Eophacops (/Pterygometopidella; =Bullicephalus), Geesops, Hypsipariops, Illaenula, Kainops, Liolophops, Lochkovella, Nandanaspis, Nephranomma, Nephranops, Nyterops, Omegops, Orygmatos, Paciphacops, Pedinopariops, Phacopidella (/Glockeria), Phacops, Plagiolaria, Portlockia, Prokops, Rabienops, Reedops, Rhinophacops, Rhinoreedops, Sambremeuaspis, Signatops, Somatrikelon, Spinicryphops, Struveaspis, Struveops, Tangbailaspis, Teichertops, Toxophacops, Trimerocephalus (/Eutrimerocephalus), Viaphacops, Weyerites, Zaplaops, Zhusilengops.
Acernaspis
Acuticryphops
Afrops
Ananaspis
Barrandeops
Cryphops
Denckannites
Dianops
Dienstina
Ductina
Eldredgeops
Eocryphops
Eophacops
Drotops armatus
Drotops megalomanicus
Kainops
Nephranomma
Nephranops
Omegops
Phacopidella
Phacops
Plagiolaria
Reedops (cephalotes, decorus)
Struveaspis
Trimerocephalus
Weyerites
- rody čeledi Pterygometopidae: Achatella, Bolbochasmops, Calliops, Calyptaulax (=Ligometopus; =Homalops), Carinopyge, Ceratevenkaspis, Chasmops, Denella, Elasmaspis, Eomonorachus, Estoniops, Evenkaspis, Ingriops, Isalaux, Isalauxina, Keilapyge, Liocnemis, Monorakos, Oculichasmops, Oelandiops, Parevenkaspis, Podowrinella, Pterygometopus, Rollmops, Ruegenometopus, Sceptaspis, Schmidtops, Scopelochasmops, Toxochasmops, Tricopelta, Truncatometopus, Upplandiops, Uralops, Valdariops, Vironiaspis, Volkops, Yanhaoia.
Achatella
Calliops
Calyptaulax
Carinopyge
Ceratevenkaspis
Chasmops
Elasmaspis
Estoniops
Evenkaspis (lobata, sibirica)
Ingriops
Isalaux
Liocnemism
Monorakos
Parevenkaspis
Pterygometopus
Sceptaspis
nadčeleď Dalmanitoidea:
- rody čeledi Dalmanitidae: Anchiopsis, Andreaspis, Argentopyge, Banilatites, Bessazoon, Blanodalmanites, Chacomurus, Chattiaspis, Coronura, Corycephalus, Crozonaspis, Dalmanites (/Dalmania; =Guaranites; =Hausmannia ETHERIDGE & MITCHELL; =Heliocephalus/Malvernia; =Makaspis; =Ommokris), Dalmanitina, Dalmanitoides, Dalmaniturus, Daytonia, Deloites, Delops, Destombesites, Dreyfussina (=Prephacopidella), Duftonia, Eodalmanitina, Eudolatites, Fenestraspis, Forillonaria, Francovichia, Furacopyge, Gamonedaspis, Glyptambon, Guichenia, Huntoniatonia (/Huntonia), Kasachstania, Lygdozoon, Malladaia, Morgatia, Mucronaspis (=Guaykinites), Mytocephala (=Mirops), Neoprobolium, Odontocephalus, Odontochile (/Hausmannia HALL & CLARK), Ormathops, Pericopyge, Phalangocephalus, Preodontochile, Probolium, Prodontochile, Prosocephalus, Retamaspis, Reussiana, Roncellia, Schoharia, Songxites, Struveria, Synphoria (/Eocorycephalus; /Neosynphoria), Synphoroides, Thuringaspis, Toletanaspis, Trypaulites, Vokovicia, Zeliszkella, Zlichovaspis (=Devonodontochile; =Spinodontochile).
Coronura
Crozonaspis
Dalmanites
Dalmanitia
Dalmaniturus
Dalmanitoides
Delops
Eodalmanitina
Eudolatites
Fenestraspis
Gamonedaspis
Guichenia
Huntoniantonia
Malladaia
Morgatia
Neoprobolium
Neosynphoria
Odontocephalus
Odontochile
Ormathops
Phalangocephalus
Probolium
Retamaspis
Struveria
Synphoroides
Toletanaspis
Trypaulites
Zeliszkella
Zlichovaspis
- rody čeledi Diaphanometopidae: Diaphanometopus, Gyrometopus, Prodalmanitina.
Diaphanometopus
Gyrometopus
- rody čeledi Prosopiscidae: Prosopiscus
Prosopiscus
nadčeleď Acastoidea:
- rody čeledi Acastidae: Acastava, Acaste, Acastella, Acastellina, Acastocephala, Acastoides, Acastopyge, Alcaldops, Armorigreenops, Asteropyge, Baniaspis, Bellacartwrightia, Bradocryphaeus, Braunops, Breizhops, Centauropyge, Chimaerastella, Coltraneia, Comura, Cryphina, Delocare, Deloops, Destombesina, Dunopyge, Echinopyge, Erbenochile, Ewacaste, Feruminops, Gandlops, Gourdonia, Greenops, Gudralisium, Hallandclarkeops, Harringtonacaste, Heliopyge (=Alcaldops), Hexacosta, Hollardops (=Modellops; =Philipsmithiana), Jaylopygiella, Kayserops, Kennacryphaeus, Kloucekia, Lanceaspis, Llandovacaste, Metacanthina, Mimocryphaeus, Minicryphaeus, Morocconites, Morzadecops, Mrakibina, Neocalmonia, Neometacanthus, Paracryphaeus, Pelitlina, Pennarbedops, Phacopidina, Philonyx, Pilletina, Protacanthina, Pseudocryphaeus, Psychopyge, Quadratispina, Quadrops, Radiopyge, Rheicops, Rheingoldium, Rhenops, Saharops, Sanidopyge, Scotiella, Sokhretia, Stummiana, Talus, Tolkienia, Treveropyge, Turcopyge, Walliserops.
Acastava
Acaste
Acastella
Acastoides
Alcaldops
Asteropyge
Bellacartwrightia
Bradocryphaeus
Braunops
Breizhops
Coltraneia
Comura
Deloops
Destombesina
Erbenochile
Gandlops
Greenops
Hallandclarkeops
Heliopyge
Hollardops
Jaylopygiella
Kayserops
Lanceaspis
Metacanthina
Minicryphaeus
Morocconites
Morzadecops
Mrakibina
Neocalmonia
Neometacanthus
Paracryphaeus
Pennarbedops
Phacopidina
Pilletina
Pseudocryphaeus
Psychopyge
Quadrops
Radiopyge
Rheingoldium
Rhenops
Saharops
Stummiana
Tolkienia
Treveropyge
Walliserops
- rody čeledi Calmoniidae: Anchiopella, Andinacaste, Australocaste, Australops, Awaria, Bainella (=Paradalmanites; =Paranacaste), Belenops, Bouleia (=Dereimsia), Calmonia, Chiarumanipyge, Clarkeaspis, Cryphaeoides, Curuyella, Deltacephalaspis, Eldredgeia, Feistia, Hadrorachus, Jujuyops, Kozlowskiaspis, Malvinella, Malvinocooperella, Metacryphaeus, Oosthuizenella, Palpebrops, Parabouleia, Paracalmonia (/Proboloides), Pennaia, Phacopina, Plesioconvexa, Plesiomalvinella, Prestalia, Probolops, Punillaspis, Renniella, Romanops, Schizostylus, Talacastops, Tarijactinoides (=Bolivianaspis), Tibagya (/Schizopyge), Tormesiscus, Typhloniscus, Vogesina, Wolfartaspis.
Anchiopella
Bainella (africana , arbuteus, cristagalli, gamkaensis)
Bouleia
Calmonia
Deltacephalaspis
Eldredgeia
Kozlowskiaspis
Metacryphaeus (giganteus,caffer)
Oosthuizenella
Paracalmonia
Pennaia
Phacopina
Prestalia
Punillaspis
Renniella
Schizostylus
Typhloniscus
Vogesina
Wolftartaspis
podřád Cheirurina:
- rody čeledi Cheiruridae: Acanthoparypha, Actinopeltis HAWLE & CORDA, Anasobella, Ancyginaspis, Apollonaspis, Arcticeraurinella, Areia, Areiaspis, Azyptyx, Barrandeopeltis, Borealaspis (=Alreboaspis), Bornholmaspis, Bufoceraurus, Ceraurinella (=Bartoninus), Ceraurinium, Ceraurinus (=Remipyga), Cerauromeros, Cerauropeltis, Ceraurus (=Eoceraurus), Cheirurus, Chiozoon, Contracheirurus, Courtessolium, Crotalocephalides, Crotalocephalina (/Gibbocephalus; =Mezocrotalus), Crotalocephalus (=Cerauroides; =Pilletopeltis/Boeckia PILLET), Cyrtometopella, Cyrtometopus, Deiphon, Didrepanon, Eccoptochile, Eccoptochiloides, Forteyops, Foulonia, Gabriceraurus, Geracephalina, Hadromeros, Hammannopyge, Hapsiceraurus, Heliomera, Heliomeroides, Holia (=Ainoa), Hyrokybe (=Shiqiania), Junggarella, Kawina (=Cydonocephalus), Kolymella, Krattaspis, Ktenoura, Laneites, Lehua, Leviceraurus, Nieszkowskia, Onycopyge, Osekaspis, Pandaspinapyga, Paraceraurus, Parasphaerexochus (=Mayopyge), Parayoungia (=Ichiyamella), Parisoceraurus, Pateraspis, Patomaspis, Placoparina, Pompeckia, Proromma, Protocerauroides, Pseudocheirurus, Pseudosphaerexochus (=Zethus), Radiurus, Ratinkaspis, Reraspis, Skelipyx, Sphaerexochus (=Korolevium; =Onukia; =Parvixochus), Sphaerocoryphe (=Ellipsocoryphe; =Hemisphaerocoryphe), Stubblefieldia, Sycophantia, Turantyx, Valongia, Whittakerites, Xylabion, Xystocrania (=Xialiangshania), Youngia, Zazvorkaspis.
Actinopeltis
Anasobella
Areia
Ceraurinella
Ceraurinus
Cerauroides
Ceraurus
Cheirurus (insignis, frederici)
Crotalocephalina
Crotalocephalus (gibbus, sternbergi)
Cyrtometopella
Cyrtometopus
Deiphon
Eccoptochile
Eccoptochiloides
Hadromeros
Hapsiceraurus
Heliomera
Heliomeroides
Kawina
Krattaspis
Ktenoura (bicuspidata, retrospinosa)
Lehua
Leviceraurus
Nieszkowskia
Onycopyge
Osekaspis
Paraceraurus
Pateraspis
Pilletopeltis
Placoparina
Pompeckia
Pseudocheirurus
Pseudosphaerexochus
Reraspis
Sphaerexochus
Sphaerocoryphe
Stubblefieldia
Xystocrania
Zazvorkaspis
- rody čeledi Encrinuridae: Aegrotocatellus, Alwynulus, Atractocybeloides; Atractopyge (=Cybelella), Avalanchurus, Balizoma, Batocara (=Pacificurus/ Australurus), Bevanopsis, Billevittia, Brianurus -(/Briania), Celtencrinurus, Coronaspis, Coronocephalus (=Coronocephalina; =Senticucullus), Cromus (=Encrinuraspis), Curriella, Cybele (=Cybelina), Cybeloides, Cybelurus (=Mitacybele), Dayongia, Deacybele, Dindymene (=Comovica), Distyrax, Dnestrovites, Elsarella, Encrinuroides, Encrinurus (=Saoria), Eodindymene, Erratencrinurus, Fragiscutum, Frammia, Frencrinuroides, Johntempleia, Kailia, Koksorenus, Langgonia, Lasaguaditas, Libertella, Lyrapyge, Mackenziurus, ,Mitchellaspis (/Mitchellia), Nucleurus, Oedicybele (=Dindymenella; =Jemtella), Paracybeloides, Paraencrinurus, Parakailia, Perirehaedulus, Perryus, Physemataspis, Plasiaspis, Prophysemataspis, Prostrix, Rielaspis, Rongxiella, Sinocybele, Staurocephalus, Stiktocybele, Struszia, Tewonia, Walencrinuroides, Wallacia.
Atractopyge
Coronocephalus
Cromus
Cybeloides
Dindymene
Encrinuraspis
Eodindymene
Encrinurus
Plasiaspis
Senticucullus
Staurocephalus
Struszia
- rody čeledi Pilekiidae: Anacheiruraspis, Anacheirurus, Chashania, Demeterops, Emsurina, Koraipsis, Landyia, Macrogrammus, Metapilekia, Metapliomerops, Parapilekia, Pilekia, Pliomeroides, Pseudopliomera, Seisonia, Sinoparapilekia, Victorispina.
Parapilekia
Koraipsis
Macrogrammus
Pliomeroides
Victorispina
- rody čeledi Pliomeridae: Anapliomera, Benedettia, Canningella, Colobinion, Coplacoparia, Cybelopsis, Ectenonotus, Encrinurella, Evropeites, Gogoella, Guizhoupliomerops, Hawleia, Hintzeia, Humaencrinuroides, Ibexaspis, Josephulus, Kanoshia, Leiostrototropis, Liexiaspis, Ngaricephalus, Obliteraspis, Ovalocephalus (=Hammatocnemis; =Paratzuchiatocnemis), Parahawleia, Parapliomera, Perissopliomera, Placoparia, Pliomera (/Amphion), Pliomerella, Pliomeridius, Pliomerina (/Pliomeraspis), Pliomerops, Protoencrinurella, Protopliomerella, Protopliomerops (=Stototropis), Pseudocybele, Pseudomera, Quinquecosta, Rossaspis, Strotactinus, Tesselacauda, Tienshihfuia, Tzuchiatocnemis.
Hintzeia
Kanoshia
Leiostrototropis
Ovalocephalus (Hammatocnemis)
Placoparia
Pliomera
Pliomerops
Protopliomerella
Protopliomerops
Pseudocybele
Rossaspis
Strotactinus