Họ (Family): Cactaceae (Xương rồng)
Chi/ Giống (Genus): Frailea
Tên các loài (species) xương rồng có trong chi/ giống xương rồng Frailea:
- Frailea aff. pumila HU85 West of Minas de Camaqua, Rio Grande do Sul, Brazil = Frailea camaquensis
- Frailea alacriportana Backeb. & Voll = Frailea gracillima
- Frailea alacriportana subs. feeburgii Prestlé = Frailea gracillima
- Frailea alacriportana subs. itapuensis Prestlé = Frailea gracillima
- Frailea alacriportana subs. longicylindrica Prestlé = Frailea gracillima
- Frailea albiareolata Buining & Bredero = Frailea pumila subs. albiareolata
- Frailea albicolumnaris F.Ritter = Frailea pygmaea subs. albicolumnaris
- Frailea albifusca F.Ritter = Frailea gracillima subs. albifusca
- Frailea alexandri D.Metzing
- Frailea angelesii R.Kiesling ex Prestlé = Frailea mammifera subs. angelesiae
- Frailea angelicana Diers & Schädlich
- Frailea asperispina F.Ritter = Frailea pygmaea subs. asperispina
- Frailea asterioides Werderm. = Frailea castanea
- Frailea atrobella Diers, Krahn & R.Vásquez
- Frailea aurea Backeb. = Frailea pygmaea var. aurea
- Frailea aureinitens Buining & Bredero = Frailea pygmaea subs. aureinitens
- Frailea aureispina F.Ritter = Frailea pygmaea subs. aureispina
- Frailea bruchi Speg. = Gymnocalycium bruchii
- Frailea buenekeri W.R.Abraham
- Frailea buenekeri subs. centrispina n.n.
- Frailea buenekeri subs. densispina Hofacker & K.Herm
- Frailea buenekeri subs. gemmrichii Prestlé = Frailea buenekeri
- Frailea buenekeri subs. pygmaeoidea Prestlé = Frailea buenekeri
- Frailea caespitosa (Speg.) Britton & Rose = Parodia caespitosa
- Frailea camaquensis L.Horst = Frailea pumila
- Frailea carminifilamentosa Kilian ex Backeb. = Frailea pumila
- Frailea carminifilamentosa subs. dyntariana Prestlé = Frailea pumila
- Frailea carminifilamentosa subs. ibicuiensis Prestlé = Frailea pumila
- Frailea carminifilamentosa subs. itaquiensis Prestlé = Frailea pumila
- Frailea carminifilamentosa subs. ustinaldensis Prestlé = Frailea pumila
- Frailea carminifilamentosa var. winkelmanniana Kilian ex Backeb. = Frailea pumila
- Frailea carminifilamentosa f. winkelmanniana (Kilian) Prestlé = Frailea carminifilamentosa var. winkelmanniana
- Frailea castanea Backeb. in Backeb. & F.M.Knuth
- Frailea castanea var. perumbilicata (F.Ritter) Prestlé = Frailea perumbilicata
- Frailea castanea var. spinosior (F.Ritter) Prestlé = Frailea castanea
- Frailea cataphracta (Dams) Britton & Rose
- Frailea cataphracta subs. duchii (G.Moser) P.J.Braun & Esteves
- Frailea cataphracta var. duchii G.Moser = Frailea cataphracta subs. duchii
- Frailea cataphracta subs. melitae (Buining & Bredero) P.J.Braun & Esteves = Frailea cataphracta subs. duchii
- Frailea cataphracta subs. tuyensis (Buining & G.Moser) P.J.Braun & Esteves
- Frailea cataphracta var. tuyensis Buining & G.Moser = Frailea cataphracta subs. tuyensis
- Frailea cataphractoides Backeb. = Frailea cataphracta subs. duchii
- Frailea chiquitana Cárdenas
- Frailea chiquitana f. cristata hort. = Frailea chiquitana
- Frailea chrysacantha Hrabě = Frailea pumila subs. chrysacantha
- Frailea colombiana (Werderm.) Backeb. = Frailea pumila subs. colombiana
- Frailea concepcionensis Buining & G.Moser = Frailea schilinzkyana
- Frailea curvispina Buining & Bredero
- Frailea dadakii Frič ex A.Berger = Frailea pygmaea var. dadakii
- Frailea deminuta Buining & Bredero = Frailea pumila subs. deminuta
- Frailea densispina (Hofacker & K.Herm) N.Gerloff = Frailea buenekeri subs. densispina
- Frailea friedrichii Buining & Moser = Frailea schilinzkyana
- Frailea fulviseta Buining & Bredero = Frailea pygmaea subs. fulviseta
- Frailea gracillima (Lem.) Britton & Rose
- Frailea gracillima subs. alacriportana (Backeb. & Voll) N.Gerloff = Frailea alacriportana
- Frailea gracillima subs. albifusca (F.Ritter) P.J.Braun & Esteves = Frailea gracillima
- Frailea gracillima var. fecotrigensis (Prestlé) Berka = Frailea gracillima
- Frailea gracillima subs. horstii (F.Ritter) P.J.Braun & Esteves
- Frailea gracillima f. lepida (Buining & Bredero) Hofacker & Berka = Frailea lepida
- Frailea gracillima subs. luteiflora Prestlé = Frailea gracillima
- Frailea grahliana (F.Haage) Britton & Rose = Frailea schilinzkyana
- Frailea grahliana subs. concepcionensis Prestlé = Frailea schilinzkyana
- Frailea grahliana subs. moseriana (Buining & Bredero) Prestlé = Frailea schilinzkyana
- Frailea grahliana subs. ybatensis (Buining & G.Moser) Prestlé = Frailea ybatensis
- Frailea hlineckyana Červinka = Frailea pumila subs. hlineckyana
- Frailea horstii F.Ritter = Frailea gracillima subs. horstii
- Frailea horstii subs. fecotrigensis Prestlé = Frailea gracillima var. fecotrigensis
- Frailea ignacionensis Buining & G.Moser = Frailea schilinzkyana
- Frailea jajoiana Červinka = Frailea pumila subs. jajoiana
- Frailea klingleriana Prestlé = Frailea schilinzkyana
- Frailea knippeliana (Quehl) Britton & Rose
- Frailea larae R.Vásquez = Frailea chiquitana
- Frailea lepida Buining & Bredero = Frailea gracillima
- Frailea mammifera Buining & Bredero in Krainz
- Frailea mammifera subs. angelesiae R.Kiesling & D.Metzing
- Frailea mammifera f. cristata hort. = Frailea mammifera
- Frailea matoana Buining & Bredero = Frailea cataphracta subs. duchii
- Frailea melitae Buining & Bredero = Frailea cataphracta subs. melitae
- Frailea moseriana Buining & Bredero = Frailea grahliana subs. moseriana
- Frailea moserianum (Buining & Bredero) Halda & Malina = Frailea grahliana subs. moseriana
- Frailea oreopygmaea var. aurea (Backeb.) Prestlé = Frailea pygmaea var. aurea
- Frailea oreopygmaea var. dadakii (Frič ex A.Berger) Prestlé = Frailea pygmaea var. dadakii
- Frailea perbella Prestlé = Frailea phaeodisca
- Frailea perumbilicata F.Ritter = Frailea schilinzkyana
- Frailea perumbilicata var. spinosior F.Ritter = Frailea castanea var. spinosior
- Frailea phaeodisca (Speg.) Backeb. & F.M.Knuth
- Frailea piltzii n.n.
- Frailea pseudogracillima F.Ritter = Frailea gracillima
- Frailea pseudopulcherrima (Frič) Y.Itô
- Frailea pulcherrima Speg. = Frailea pygmaea var. pulcherrima
- Frailea pullispina Backeb. = Frailea chiquitana
- Frailea pumila Britton & Rose
- Frailea pumila subs. albiareolata (Buining & Bredero) P.J.Braun & Esteves = Frailea pumila
- Frailea pumila subs. alegretensis Prestlé = Frailea pumila
- Frailea pumila subs. aquatica Prestlé = Frailea pumila
- Frailea pumila subs. aurantiaca var. Prestlé Prestlé = Frailea pumila
- Frailea pumila subs. boosiana Prestlé = Frailea pumila
- Frailea pumila subs. chrysacantha (Hrabě) Prestlé = Frailea pumila
- Frailea pumila subs. colombiana (Werderm.) Prestlé = Frailea pumila
- Frailea pumila subs. concordiaensis Prestlé = Frailea pumila
- Frailea pumila subs. corrienta Prestlé = Frailea pumila
- Frailea pumila var. curvispina Prestlé = Frailea pumila
- Frailea pumila subs. deminuta (Buining & Bredero) Prestlé
- Frailea pumila subs. editha Prestlé = Frailea pumila
- Frailea pumila subs. hlineckyana (Červinka) Prestlé = Frailea pumila
- Frailea pumila subs. iguaraica Prestlé = Frailea pumila
- Frailea pumila subs. jajoiana (Červinka) Prestlé = Frailea pumila
- Frailea pumila subs. maior (F.Ritter) P.J.Braun & Esteves = Frailea pumila var. maior
- Frailea pumila var. maior F.Ritter = Frailea pumila
- Frailea pumila subs. meseta Prestlé = Frailea pumila
- Frailea pumila subs. multiceps Prestlé = Frailea pumila
- Frailea pumila subs. necopina Prestlé = Frailea pumila
- Frailea pumila subs. neoeditha Prestlé = Frailea pumila
- Frailea pumila subs. pubispina Prestlé = Frailea pumila
- Frailea pumila f. rubrispina hort. = Frailea pumila
- Frailea pumila subs. tenuissima Prestlé = Frailea pumila
- Frailea pumila subs. uruguayana Prestlé = Frailea pumila
- Frailea pygmaea (Speg.) Britton & Rose
- Frailea pygmaea var. aceguaensis Prestlé = Frailea pygmaea
- Frailea pygmaea subs. albicolumnaris (F.Ritter) Hofacker
- Frailea pygmaea var. albispina = Frailea pygmaea
- Frailea pygmaea subs. altigibbera (F.Ritter) P.J.Braun & Esteves = Frailea pygmaea
- Frailea pygmaea var. altigibbera F.Ritter = Frailea pygmaea subs. altigibbera
- Frailea pygmaea var. applanata Prestlé = Frailea pygmaea
- Frailea pygmaea var. argenta Prestlé = Frailea pygmaea
- Frailea pygmaea subs. asperispina (F.Ritter) P.J.Braun & Esteves = Frailea pygmaea
- Frailea pygmaea var. atrofusca Backeb. = Frailea pygmaea
- Frailea pygmaea var. aurea (Backeb.) Backeb.
- Frailea pygmaea subs. aureinitens (Buining & Bredero) P.J.Braun & Esteves = Frailea pygmaea
- Frailea pygmaea subs. aureispina (F.Ritter) P.J.Braun & Esteves = Frailea pygmaea
- Frailea pygmaea var. auricantha Prestlé = Frailea pygmaea
- Frailea pygmaea var. bagensis Prestlé = Frailea pygmaea
- Frailea pygmaea var. brunneo-mollispina hort. = Frailea pygmaea
- Frailea pygmaea var. cabucaensis Prestlé = Frailea pygmaea
- Frailea pygmaea var. carpinteria Prestlé = Frailea pygmaea
- Frailea pygmaea var. castaneoidea Prestlé = Frailea pygmaea
- Frailea pygmaea var. catiensis = Frailea pygmaea
- Frailea pygmaea var. corallina Prestlé = Frailea pygmaea
- Frailea pygmaea var. curvispina F.Ritter = Frailea pygmaea
- Frailea pygmaea var. dadakii (Frič ex A.Berger) Backeb. = Frailea pygmaea
- Frailea pygmaea var. elegantissima = Frailea pygmaea
- Frailea pygmaea subs. fulviseta (Buining & Bredero) P.J.Braun & Esteves
- Frailea pygmaea var. gemmrichii Prestlé = Frailea pygmaea
- Frailea pygmaea var. gloriosa Prestlé = Frailea pygmaea
- Frailea pygmaea var. grandiflora = Frailea pygmaea
- Frailea pygmaea subs. hyssooniana Prestlé = Frailea pygmaea
- Frailea pygmaea var. insignia Prestlé = Frailea pygmaea
- Frailea pygmaea var. krausiana Prestlé = Frailea pygmaea
- Frailea pygmaea var. largoensis Prestlé = Frailea pygmaea
- Frailea pygmaea subs. lilalunula (F.Ritter) P.J.Braun & Esteves = Frailea pygmaea
- Frailea pygmaea var. lilalunula F.Ritter = Frailea pygmaea subs. lilalunula
- Frailea pygmaea var. longispina F.Ritter = Frailea pygmaea
- Frailea pygmaea var. maior F.Ritter = Frailea pygmaea
- Frailea pygmaea var. minanensis = Frailea pygmaea
- Frailea pygmaea var. mollispina-brunnea Prestlé = Frailea pygmaea
- Frailea pygmaea var. montana Prestlé = Frailea pygmaea
- Frailea pygmaea var. olimarensis Prestlé = Frailea pygmaea
- Frailea pygmaea var. phaeodisca (Speg.) Y.Itô = Frailea phaeodisca
- Frailea pygmaea var. planicosta F.Ritter = Frailea pygmaea
- Frailea pygmaea var. pulcherrima (Arechav.) Prestlé = Frailea pygmaea
- Frailea pygmaea var. sakusiana = Frailea pygmaea
- Frailea pygmaea var. salascana = Frailea pygmaea
- Frailea pygmaea var. salusiana = Frailea pygmaea
- Frailea pygmaea var. santanaensis Prestlé = Frailea pygmaea
- Frailea pygmaea subs. tuyensis (Buining & G.Moser) D.Metzing = Frailea cataphracta subs. tuyensis
- Frailea pygmaea var. tuyensis (Buining & G.Moser) D.Metzing = Frailea cataphracta subs. tuyensis
- Frailea pygmaea var. viridilunula Prestlé = Frailea pygmaea
- Frailea schilinzkyana (F.Haage ex K.Schum.) Britton & Rose
- Frailea schilinzkyana subs. concepcionensis (Buining & G.Moser) P.J.Braun & Esteves = Frailea concepcionensis
- Frailea schilinzkyana f. cristata hort. = Frailea schilinzkyana
- Frailea schilinzkyana subs. matoana (Buining & Bredero) Berka = Frailea matoana
- Frailea schlosseri Prestlé = Frailea phaeodisca
- Frailea schlosseriana H.Schloss. = Frailea schlosseri
- Frailea tuyensis (Buining & Moser) P.J.Braun & Esteves = Frailea cataphracta subs. tuyensis
- Frailea uhligiana Backeb. in Backeb. = Frailea cataphracta subs. duchii
- Frailea ybatense Buining & Moser = Frailea ybatensis
- Frailea ybatensis Buining & Moser = Frailea schilinzkyana