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Классификация маммиллярий по Репенхагену

The list in the annex is basically on
Reppenhagen, W.
Die Gattung Mammillaria, Bd. 1 + 2: 1991/1992
(The Genus Mammillaria Vol. 1+ 2)
I only made some minor corrections.
I hope this list is of some help for you
Best regards

Mammillaria Haworth
Syn.Plant.Succ. 117.1812

Subgenus Mammilloydia (Buxbaum) Moran
Gentes Herb. 8: 324.1953

Mammillaria candida Scheidweiler
          Synonym:  Mammillaria ortiz-rubiona, Mammillaria sphaerotricha
Mammillaria candida var. estanzuelensis Reppenhagen

Subgenus Oehmea (Buxbaum) Hunt
(Cact. Succ. J. GB 39 (2); 36.1977

Mammillaria beneckei Ehrenberg
          Synonym:  Mammillaria aylostera, Mammillaria balsasoides, Mammillaria balsasensis, Mammillaria barken, Mammillaria colonensis, Mammillaria guiengolensis, Mammillaria nelsonii
Mammillaria beneckei var. multiceps Reppenhagen

Subgenus Dolichothele K. Schumann
Gesamtbeschr. Kakteen ; 474.1898

Mammillaria baumii Boedeker
Mammillaria carretii Rebut
          Synonym: Mammillaria saffordii
Mammillaria heidiae Krainz
Mammillaria longimamma De Candolle
Mammillaria melaleuca Karwinsky
Mammillaria sphaerica Dietrich
          Synonym: Mammillaria longimamma var. sphaerica
Mammillaria surculosa Boedeker
Mammillaria uberiformis Zuccarini
          Synonym: Mammillaria laeta

Subgenus Mamillopsis Morren
Belg. Hort. 24: 33.1874

Mammillaria senilis Loddiges
          Synonym: Mammillaria diguetii

Subgenus Mammillaria

Sectio Hydrochylus K. Schumann
Gesamtbeschr. Kakteen: 514. 1898

Series Longiflorae Hunt
Cact. Succ. J. GB 33: 59.1971

Longiflora-Group
Mammillaria longiflora (Britton & Rose) Berger
Mammillaria stampferi Reppenhagen
          Synonym: Mammillaria longiflora fa. stampferi

Napina-Group
Mammillaria deherdtiana Farwig
          Synonym: Mammillaria dodsonii
Mammillaria hernandezii Glass & Foster
Mammillaria napina J.A. Purpus

Saboe-Group
Mammillaria goldii Glass & Foster
          Synonym: Mammillaria saboe var. goldii
Mammillaria haudeana Lau & Wagner
          Synonym: Mammillaria saboe var. haudeana
Mammillaria saboe Glass
Mammillaria theresae Cutak
          Synonym: Mammillaria saboe var. theresae

Series Ancistracanthae K. Schumann
Gesamtbeschr. Kakteen: 517.1898

Tetrancistra-Group
Mammillaria tetrancistra Engelmann
          Synonym: Mammillaria phellosperma

Guelzowiana-Group
Mammillaria guelzowiana Werdermann

Barbata-Group
Mammillaria barbata Engelmann

          Synonym:  Mammillaria chavezei, Mammillaria garessii, Mammillaria morricalii, Mammillaria orestera, Mammillaria viridiflora
Mammillaria wilcoxii Toumey
          Synonym:  Mammillaria mediorosei, Mammillaria santaclarensis, Mammillaria wrightii var. wilcoxii
Mammillaria wrightii Engelmann
Mammillaria wrightii var. wolfii (Hunt) Reppenhagen

Zephyranthoides-Group
Mammillaria zephyranthoides Scheidweiler

          Synonym:  Mammillaria fenellii var. haudeana, Mammillaria zephyranthiflora

Grahamii-Group
Mammillaria alamensis Craig
          Synonym: Mammillaria pseudoalamensis
Mammillaria grahamii Engelmann
          Synonym:  Mammillaria microcarpa, Mammillaria marnierana, Mammillaria milleri, Mammillaria oliviae
Mammillaria gueldemanniana Backeberg
          Synonym: Mammillaria guirocobensis
Mammillaria mainae K. Brandegee
Mammillaria mazatlanensis K. Schumann & Guerke

          Synonym:  Mammillaria littoralis, Mammillaria occidentalis, Mammillaria patonii
Mammillaria sheldonii (Britton & Rose) Boedeker
Mammillaria swinglei (Britton & Rose) Boedeker
          Synonym: Mammillaria inaiae
Mammillaria thornberi Orcutt
          Synonym: Mammillaria fasciculata
Mammillaria yaquensis Craig

Schumannii-Group
Mammillaria albicans (Britton & Rose) Berger
          Synonym: Mammillaria slevinii
Mammillaria blossfeldiana Boedeker
          Synonym: Mammillaria shurliana
Mammillaria boolii Lindsay
Mammillaria capensis (Gates) Craig
Mammillaria fraileana (Britton & Rose) Boedeker
Mammillaria hutchisoniana (Gates) Boedeker
Mammillaria hutchisoniana var. bullardiana (Gates) Boedeker
          Synonym: Mammillaria bullardiana
Mammillaria insularis Gates
Mammillaria louisae Lindsay
Mammillaria rectispina (Dawson) Reppenhagen
          Synonym: Mammillaria goodridgii var. rectispina
Mammillaria schumannii Hildmann

          Synonym:  Mammillaria schumannii var. globosa, Mammillaria venusta

Dioica-Group
Mammillaria angelensis Craig
Mammillaria angelensis var. estebanensis (Lindsay) Reppenhagen
          Synonym: Mammillaria estebanensis
Mammillaria armillata K. Brandegee
          Synonym: Mammillaria lapacena
Mammillaria cerralboa (Britton et Rose) Orcutt
Mammillaria dioica K. Brandegee
          Synonym: Mammillaria fordii, Mammillaria incerta
Mammillaria goodrichii Scheer
Mammillaria multidigitata Lindsay
Mammillaria neopalmeri Craig
          Synonym: Mammillaria palmeri
Mammillaria verhaertiana Boedeker
          Synonym: Mammillaria phitauiana

Series Stylothelae (Pfeiffer) K. Schumann
Gesamtbeschr. Kakteen: 516.1898

Bombycina-Group
Mammillaria berkiana Lau
Mammillaria boedekeriana Quehl
Mammillaria bombycina Quehl
Mammillaria brachytrichion Luethy
Mammillaria fittkaui Glass & Foster
Mammillaria fuscohamata Backeberg
Mammillaria guillauminiana Backeberg
Mammillaria jaliscana (Britton & Rose) Boedeker

          Synonym:  Mammillaria flavihamata, Mammillaria kleiniorum, Mammillaria posseltiana, Mammillaria rettigiana
Mammillaria limonensis Reppenhagen
Mammillaria mathildae Kraehenbuehl & Krainz
Mammillaria mercadensis Patoni
          Synonym: Mammillaria ocamponis
Mammillaria moelleriana Boedeker
          Synonym: Mammillaria cowperae
Mammillaria nazasensis (Glass & Foster) Reppenhagen
          Synonym: Mammillaria pennispinosa var. nazasensis
Mammillaria pennispinosa Krainz
Mammillaria perezdelarosae Bravo & Scheinvar
Mammillaria sinistrohamata Boedeker
Mammillaria variabilis Reppenhagen
Mammillaria viescensis Rogozinski & Appenzeller
Mammillaria weingartiana Boedeker
          Synonym: Mammillaria unihamata
Mammillaria zacatecasensis Shurly
Mammillaria zeilmanniana Boedeker

Wildii-Group
Mammillaria bocasana Poselger
Mammillaria brevicrinita Reppenhagen
Mammillaria calleana Backeberg
Mammillaria crinita De Candolle

          Synonym:  Mammillaria criniformis, Mammillaria glochidiata var. crinita
Mammillaria crinita var. pauciseta De Candolle
Mammillaria duwei Rogozinski & Braun
Mammillaria erythrosperma Boedeker
          Synonym: Mammillaria multiformis
Mammillaria felipensis Reppenhagen
Mammillaria gilensis Boedeker
Mammillaria glochidiata Martius
Mammillaria glochidiata var. xiloensis Reppenhagen
Mammillaria hirsuta Boedeker

          Synonym:  Mammillaria aureoviridis, Mammillaria erectohamata, Mammillaria longicoma, Mammillaria mollihamata
Mammillaria hirsuta var. grandis Reppenhagen
Mammillaria knebeliana Boedeker

          Synonym:  Mammillaria leucantha, Mammillaria haehneliana
Mammillaria moeller-valdeziana Appenzeller
Mammillaria monancistracantha Backeberg
          Synonym: Mammillaria nana
Mammillaria painteri Rose
          Synonym: Mammillaria pygmaea
Mammillaria puberula Reppenhagen
Mammillaria pubispina Boedeker
          Synonym: Mammillaria cadereytana n. n.
Mammillaria schelhasii Pfeiffer
          Synonym: Mammillaria glochidiata var. purpurea
Mammillaria schelhasii var. aurihamata (Boedeker) Reppenhagen
          Synonym: Mammillaria aurihamata
Mammillaria seideliana Quehl
          Synonym: Mammillaria kunzeana
Mammillaria trichacantha K. Schumann
Mammillaria wildii Dietrich
          Synonym: Mammillaria wildiana

Series Proliferae Hunt
Cact. Succ. J. GB 39 (3) : 73. 1977

Prolifera-Group
Mammillaria albicoma Boedeker
Mammillaria anniana Glass
Mammillaria multiceps Salm-Dyck
          Synonym: Mammillaria pusilla
Mammillaria multiceps var. humilis Meinshausen
Mammillaria oteroi Glass & Foster
Mammillaria picta Meinshausen

          Synonym:  Mammillaria aurisaeta, Mammillaria schieliana
Mammillaria pilispina J. A. Purpus
          Synonym:  Mammillaria sanluisensis, Mammillaria subtilis
Mammillaria prolifera (Miller) Haworth
          Synonym:  Mammillaria glomerata, Mammillaria pusilla var. haitensis, Mammillaria stellaris
Mammillaria rayonensis Reppenhagen
Mammillaria viereckii Boedeker
Mammillaria zubleri Reppenhagen

Gracilis-Group
Mammillaria gracilis Pfeiffer
          Synonym: Mammillaria fragilis
Mammillaria vetula Martius

          Synonym:  Mammillaria kuentziana, Mammillaria magneticola, Mammillaria radiaissima

Series Lasiacanthae Hunt
Cact. Succ. J. GB 33 (3) : 63.1971

Lasiacantha-Group
Mammillaria chica Reppenhagen
Mammillaria gasseriana Boedeker
Mammillaria lasiacantha Engelmann
          Synonym: Mammillaria denudata, Mammillaria egregia
Mammillaria magallanii Schmoll
          Synonym: Mammillaria roseocentra
Mammillaria neobertrandiana Backeberg
          Synonym: Mammillaria lengdobleriana
Mammillaria wohlschlageri Reppenhagen

Schiedeana-Group
Mammillaria carmenae Castaneda
Mammillaria dumetorum J. A. Purpus
Mammillaria plumosa Weber
Mammillaria schiedeana Ehrenberg

Humboldtii-Group
Mammillaria ascensionis Reppenhagen
          Synonym: Mammillaria glassii var. ascensionis
Mammillaria ascensionis var. nominis-dulcis (Lau) Reppenhagen
          Synonym: Mammillaria glassii var. nominis-dulcis
Mammillaria dasyacantha (Hunt) Reppenhagen
Mammillaria glassii Foster
Mammillaria glassii var. siberiensis Lau
Mammillaria humboldtii Ehrenberg
Mammillaria laui Hunt
Mammillaria laui var. subducta (Hunt) Reppenhagen
Mammillaria schwarzii Shurly

Lenta-Group
Mammillaria aureilanata Backeberg

          Synonym:  Mammillaria aureilanata var. alba, Mammillaria cephalophora
Mammillaria lenta K. Brandegee

Series Pectiniferae Kuhn & Hofmann
Inform. ZAG Mam. 4: 59.1979

Pectinifera-Group
Mammillaria pectinifera (Stein) Weber
          Synonym: Pelecyphora pectinata, Solisia pectinata
Mammillaria solisioides Backeberg

Herrerae-Group
Mammillaria herrerae Werdermann
Mammillaria herrerae var. albiflora Werdermann

Series Sphacelatae Hunt
Cact. Succ. J. GB 39 (3) : 75. 1977

Sphacelata-Group
Mammillaria kraehenbuehlii (Krainz) Krainz
Mammillaria sphacelata Martius
Mammillaria tonalensis Hunt
Mammillaria viperina J. A. Purpus

Series Leptocladodae (Lemaire) K. Schumann
Gesamtbeschr. Kakteen : 515. 1898

Pottsii-Group
Mammillaria pottsii Scheer
          Synonym: Mammillaria leona
Mammillaria pottsii var. multicaulis Reppenhagen
Mammillaria pottsii var. gigas Reppenhagen

Elongata-Group
Mammillaria buxbaumeriana Reppenhagen
Mammillaria densispina (Coulter) Orcutt
Mammillaria droegeana Hildmann ex Reppenhagen
Mammillaria elongata De Candolle

          Synonym:  Mammillaria echinaria, Mammillaria echinata, Mammillaria intertexta, Mammillaria stella-aurata, Mammillaria subcrocea, Mammillaria tenuis media
Mammillaria microhelia Werdermann
          Synonym: Mammillaria microheliopsis
Mammillaria mieheana Tiegel

Series Decipientes Hunt
Cact. Succ. L GB 41 (4) : 95.1979

Decipiens-Group
Mammillaria camptotricha Dams
Mammillaria decipiens Scheidweiler
Mammillaria decipiens var. albescens (Tiegel) Reppenhagen
          Synonym: Mammillaria albescens

Sectio Subhydrochylus Backeberg ex Hunt
Cact. Succ. J. GB 39 (3): 74.1977

Series Heterochlorae (Salm-Dyck) K. Schumann
Gesamtbeschr. Kakteen: 517. 1898

Rhodantha-Group
Mammillaria bonavitii Reppenhagen
Mammillaria fera-rubra Schmoll ex Craig
Mammillaria pringlei (Coulter) Brandegee
          Synonym: Mammillaria parensis
Mammillaria rhodantha Link & Otto

          Synonym:  Mammillaria aureiceps, Mammillaria fuscata, Mammillaria fulvispina, Mammillaria pfeifferi, Mammillaria tentaculata, Mammillaria rutila
Mammillaria verticealba Reppenhagen
Mammillaria verticealba var. zacatecasensis Reppenhagen

Discolor-Group
Mammillaria apamensis Reppenhagen
Mammillaria apamensis var. pratensis Reppenhagen
Mammillaria discolor Haworth

          Synonym:  Mammillaria aciculata, Mammillaria amoena, Mammillaria pulchella
Mammillaria discolor var. longispina Reppenhagen
Mammillaria discolor var. ochoterenae (Bravo) Reppenhagen

          Synonym:  Mammillaria esperanzaensis, Mammillaria ochoterenae, Mammillaria pachyrhiza
Mammillaria discolor var. schmollii (Bravo) Reppenhagen
          Synonym: Mammillaria schmollii Mammillaria erectacantha Foerster
Mammillaria mundtii K. Schumann
Mammillaria wiesingeri Boedeker

Polythele-Group
Mammillaria durispina Boedeker
Mammillaria hoffmanniana (Tiegel) Bravo
Mammillaria mollendorfiana Shurly
Mammillaria obconella Scheidweiler
          Synonym: Mammillaria ingens
Mammillaria polythele Martius

          Synonym:  Mammillaria affinis, Mammillaria columnaris, Mammillaria kelleriana, Mammillaria multimamma, Mammillaria neophaeacantha, Mammillaria quadrispina, Mammillaria subdurispina
Mammillaria tetracantha Salm-Dyck
          Synonym:  Mammillaria hidalgensis, Mammillaria kewensis, Mammillaria dolichocentra, Mammillaria rigidispina
Mammillaria xochipilli Reppenhagen

Series Polyacanthae (Salm-Dyck) K. Schumann
Gesamtbeschr. Kakteen: 516 (1898)

Gasterantha-Group
Mammillaria bambusiphila Reppenhagen
Mammillaria bambusiphila var. parva Reppenhagen
Mammillaria gasterantha Reppenhagen
Mammillaria isotensis Reppenhagen

Spinosissima-Gruppe
Mammillaria backebergiana Buchenau
Mammillaria backebergiana var. ernestii (Fittkau) Glass & Foster
          Synonym: Mammillaria ernestii
Mammillaria centraliplumosa Fittkau
Mammillaria centraliplumosa var. gracilis Reppenhagen
Mammillaria compacticaulis Reppenhagen
Mammillaria crassior Reppenhagen
Mammillaria matudae Bravo
Mammillaria matudae var. serpentiformis Fittkau
Mammillaria pitcayensis Bravo
Mammillaria silvatica Reppenhagen
Mammillaria spinosissima Lemaire

          Synonym:  Mammillaria auricoma, Mammillaria flava, Mammillaria kladiwae n. n. etc.
Mammillaria supraflumen Reppenhagen

Nunezii-Group
Mammillaria aureispina (Lau) Reppenhagen
          Synonym: Mammillaria rekoi var. aureispina
Mammillaria claviformis Reppenhagen
Mammillaria duoformis Craig & Dawson
Mammillaria duoformis var. xuchiapensis Reppenhagen
Mammillaria erythrocalyx Buchenau
Mammillaria guerreronis (Bravo) Boedeker
          Synonym: Mammillaria zopilotensis
Mammillaria hamata Lehmann
          Synonym: Mammillaria principis
Mammillaria hubertmulleri Reppenhagen
Mammillaria krassuckae Reppenhagen
Mammillaria leptacantha (Lau) Reppenhagen
          Synonym: Mammillaria rekoi var. leptacantha
Mammillaria magnifica Buchenau
Mammillaria magnifica var. minor Buchenau
Mammillaria meyranii Bravo
Mammillaria meyranii var. michoacana Meyran
Mammillaria nunezii (Britton & Rose) Orcutt

          Synonym:  Mammillaria bella, Mammillaria deluisiana, Mammillaria solisii, Mammillaria wuthenauiana
Mammillaria pullihamata (Backeberg) Reppenhagen
Mammillaria rekoi (Britton & Rose) Vaupel

          Synonym:  Mammillaria mitlensis, Mammillaria pseudorekoi, Mammillaria rekoiana
Mammillaria rossiana Heinrich
          Synonym: Mammillaria heeriana n. n.
Mammillaria sanjuanensis Reppenhagen
Mammillaria virginis Fittkau & Kladiwa
Mammillaria xaltianguensis Sanchez-Mejorada
Mammillaria xaltianguensis var. aguilensis Reppenhagen

Series Elegantes K. Schumann
Gesamtbeschr. Kakteen : 561. 1898

Elegans-Group
Mammillaria albidula Backeberg
Mammillaria albilanata Backeberg
          Synonym: Mammillaria fuauxiana
Mammillaria chiapensis Reppenhagen
Mammillaria columbiana Salm-Dyck

          Synonym:  Mammillaria bogotensis, Mammillaria hennisii, Mammillaria soehlemannii, Mammillaria tamayonis
Mammillaria columbiana var. albescens W. Haage & Backeberg
Mammillaria conspicua J. A. Purpus
Mammillaria crucigera Martius
          Synonym: Mammillaria buchenaui
Mammillaria dixanthocentron Backeberg
Mammillaria dixanthocentron var. rubrispina Wolf
Mammillaria donatii Berge
Mammillaria elegans De Candolle

          Synonym:  Mammillaria acanthophlegma, Mammillaria dealbata, Mammillaria dyckiana, Mammillaria sanangelensis
Mammillaria elegans var. lupina Reppenhagen
Mammillaria elegans var. longicaudata Reppenhagen
Mammillaria elegans var. teyuca Reppenhagen
Mammillaria eriacantha Link & Otto
Mammillaria flavicentra Backeberg
Mammillaria haageana Pfeiffer
          Synonym: Mammillaria collina
Mammillaria halbingeri Boedeker
Mammillaria huitzilopochtli Hunt
Mammillaria ignota Reppenhagen
Mammillaria igualensis Reppenhagen
Mammillaria igualensis var. palmillensis Reppenhagen
Mammillaria lanata (Britton & Rose) Orcutt
Mammillaria lanigera Reppenhagen
Mammillaria lanigera var. juxtlahuacensis Reppenhagen
Mammillaria meissneri Ehrenberg
          Synonym: Mammillaria elegans var. schmollii
Mammillaria noureddineana Reppenhagen
Mammillaria reppenhagenii Hunt
Mammillaria ruestii Quehl
          Synonym: Mammillaria celsiana var. guatemalensis
Mammillaria supertexta Martius
          Synonym: Mammillaria martinezii
Mammillaria tegelbergiana Lindsay
Mammillaria tlalocii Reppenhagen
Mammillaria yucatanensis (Britton & Rose) Orcutt
          Synonym: Mammillaria fobeana

Sectio Mammillaria (Galactochylus)

Series Leucocephalae (Lemaire) K. Schumann
Gesamtbeschr. Kakteen : 561 (1898)

Geminispina-Group
Mammillaria albata Reppenhagen
Mammillaria albata var. longispina Reppenhagen
Mammillaria albata var. sanciro Reppenhagen
Mammillaria bravoae Craig
Mammillaria geminispina Haworth

          Synonym:  Mammillaria bicolor, Mammillaria dedalea, Mammillaria eburnea, Mammillaria nivea, Mammillaria nobilis, Mammillaria toaldoae
Mammillaria hahniana Werdermann
          Synonym:  Mammillaria mendeliana, Mammillaria saetigera, Mammillaria woodsii
Mammillaria infemillensis Craig
          Synonym:  Mammillaria cadereytensis, Mammillaria queretarica
Mammillaria klissingiana Boedeker
Mammillaria leucocentra Berg
Mammillaria microthele Muehlenpfordt
Mammillaria morganiana Tiegel
Mammillaria muehlenpfordtii Foerster

          Synonym:  Mammillaria neopotosina, Mammillaria potosina hort.
Mammillaria parkinsonii Ehrenberg
          Synonym:  Mammillaria auriareolis, Mammillaria avila-camachoi, Mammillaria rosensis, Mammillaria tiegeliana, Mammillaria vonwyssiana
Mammillaria perbella Hildmann
Mammillaria pseudoperbella Quehl

Sempervivi-Group
Mammillaria arroyensis Reppenhagen
Mammillaria brauneana Boedeker
Mammillaria chionocephala J. A. Purpus
          Synonym: Mammillaria caerulea
Mammillaria formosa Galeotti
Mammillaria pseudocrucigera Craig
Mammillaria ritteriana Boedeker
Mammillaria sempervivi De Candolle
          Synonym: Mammillaria caput-medusae

Series Macrothelae (Salm-Dyck) K. Schumann
Gesamtbeschr. Kakteen: 561. 1898

Mammillaris-Group
Mammillaria flavescens (De Candolle) Haworth
          Synonym: Mammillaria nivosa
Mammillaria mammillaris (Linn?) Karsten

          Synonym:  Mammillaria caracassana, Mammillaria ekmanii, Mammillaria karstenii, Mammillaria parvimamma, Mammillaria pseudosimplex, Mammillaria simplex

Heyderi-Group
Mammillaria boelderliana Wohlschlager
Mammillaria coahuilensis (Boedeker) Moran

          Synonym:  Haagea schwartzii, Porfiria schwartzii, Mammillaria albiarmata
Mammillaria durangicola Reppenhagen
Mammillaria freudenbergeri Reppenhagen
Mammillaria gaumeri (Britton & Rose) Orcutt
Mammillaria grusonii Runge
Mammillaria gummifera Engelmann
          Synonym: Mammillaria buchheimiana
Mammillaria heyderi Muehlenpfordt

          Synonym:  Mammillaria applanata, Mammillaria hemisphaerica
Mammillaria heyderi var. waltheri (Boedeker) Mottram
          Synonym: Mammillaria waltheri
Mammillaria lloydii (Britton & Rose) Orcutt
Mammillaria macdougalii Rose
Mammillaria meiacantha Engelmann

          Synonym:  Mammillaria melanocentra var. meiacantha, Mammillaria heyderi var. meiacantha
Mammillaria melanocentra Poselger
          Synonym:  Mammillaria euthele n. n., Mammillaria runyonii
Mammillaria melispina Werdermann
Mammillaria pachycylindrica Backeberg
Mammillaria papasquiarensis (Bravo) Reppenhagen
          Synonym: Mammillaria tesopacensis var. papasquiarensis
Mammillaria parrasensis Reppenhagen
Mammillaria roseoalba Boedeker
Mammillaria rubrograndis Reppenhagen & Lau
Mammillaria uncinata Zuccarini
          Synonym: Mammillaria depressa
Mammillaria zeyeriana Haage jr.
          Synonym: Mammillaria mexicensis

Petterssonii-Group
Mammillaria apozolensis Reppenhagen
Mammillaria apozolensis var. saltensis Reppenhagen
Mammillaria crassa Reppenhagen
Mammillaria gigantea Hildmann

          Synonym:  Mammillaria armatissima, Mammillaria hastifera
Mammillaria hamiltonhoytea (Bravo) Werdermann
          Synonym: Mammillaria ocotillensis
Mammillaria hamiltonhoytea var. pilensis (Shurly) Reppenhagen
          Synonym: Mammillaria pilensis
Mammillaria huiguerensis Reppenhagen
Mammillaria petterssonii Hildmann
          Synonym: Mammillaria obscura
Mammillaria saint-pieana Backeberg
Mammillaria wagneriana Boedeker

Standleyi-Group
Mammillaria canelensis Craig

          Synonym:  Mammillaria auricantha, Mammillaria auritricha, Mammillaria bellacantha, Mammillaria bellisiana, Mammillaria laneosumma, Mammillaria mayensis, Mammillaria montensis
Mammillaria craigii Lindsay
Mammillaria floresii Backeberg
Mammillaria hertrichiana Craig
Mammillaria lindsayi Craig
Mammillaria marksiana Krainz
Mammillaria miegiana Earle
Mammillaria sonorensis Craig
Mammillaria standleyi (Britton & Rose) Orcutt
Mammillaria tesopacensis Craig
          Synonym: Mammillaria movensis
Mammillaria xanthina (Britton & Rose) Boedeker

Scrippsiana-Group
Mammillaria bocensis Craig
          Synonym: Mammillaria neoschwarzeana
Mammillaria bocensis var. rubida (Schwarz) Reppenhagen
          Synonym: Mammillaria rubida
Mammillaria bocensis var. movasana Reppenhagen
Mammillaria scrippsiana (Britton & Rose) Orcutt
          Synonym: Mammillaria ortegae
Mammillaria scrippsiana var. pseudoscrippsiana (Backeberg) Reppenhagen
Mammillaria scrippsiana var. armeria Reppenhagen

Compressa-Group
Mammillaria bernalensis Reppenhagen
Mammillaria centralifera Reppenhagen
Mammillaria compressa De Candolle

          Synonym:  Mammillaria angularis, Mammillaria cirrhifera, Mammillaria kleinschmidtiana, Mammillaria longiseta, Mammillaria oettingenii, Mammillaria plinthiomorpha, Mammillaria squarrosa, Mammillaria subangularis, Mammillaria triacantha

Magnimamma-Group
Mammillaria bucareliensis Craig
Mammillaria bucareliensis var. multiflora Reppenhagen
Mammillaria bucareliensis var. tamaulipa Reppenhagen
Mammillaria crassimammillis Reppenhagen
Mammillaria macracantha De Candolle
Mammillaria magnimamma Haworth

          Synonym:  Mammillaria centricirrha, Mammillaria flavovirens, Mammillaria tolimensis, etc.
Mammillaria orcuttii Boedeker
Mammillaria priessnitzii Reppenhagen
Mammillaria rioverdense Reppenhagen
Mammillaria saxicola Reppenhagen
Mammillaria seitziana Martius
Mammillaria seitziana var. tolantongensis Reppenhagen
Mammillaria vagaspina Craig
Mammillaria vallensis Reppenhagen
Mammillaria vallensis var. brevispina Reppenhagen
Mammillaria winterae Boedeker
          Synonym: Mammillaria zahniana
Mammillaria zuccariniana Martius

Brandegeei-Group
Mammillaria brandegeei (Coulter) K. Brandegee
          Synonym: Mammillaria gabbii
Mammillaria glareosa Boedeker
          Synonym: Mammillaria dawsonii
Mammillaria lewisiana Lindsay

Petrophila-Group
Mammillaria arida Rose

          Synonym:  Mammillaria baxteriana, Mammillaria marshalliana
Mammillaria evermanniana (Britton & Rose) Orcutt
          Synonym: Mammillaria nolascana
Mammillaria johnstonii (Britton & Rose) Orcutt
          Synonym: Mammillaria johnstonii var. sancarlensis
Mammillaria pacifica (Gates) Boedeker
Mammillaria peninsularis (Britton & Rose) Orcutt
Mammillaria petrophila K. Brandegee
          Synonym: Mammillaria gatesii
Mammillaria tayloriorum Glass & Foster

Series Polyedrae (Pfeiffer) K. Schumann
Gesamtbeschr. Kakteen 563 (1898)

Karwinskiana-Group
Mammillaria beiselii Diers
Mammillaria confusa (Britton & Rose) Orcutt
          Synonym: Mammillaria conzattii
Mammillaria karwinskiana Martius

          Synonym:  Mammillaria ebenacantha, Mammillaria fischeri, Mammillaria praelii, Mammillaria virens
Mammillaria knippeliana Quehl
Mammillaria nagliana Reppenhagen
Mammillaria nejapensis Craig & Dawson
Mammillaria tropica Reppenhagen
Mammillaria voburnensis Scheer
          Synonym: Mammillaria chapinensis
Mammillaria voburnensis var. collinsii (Britton & Rose) Reppenhagen
          Synonym: Mammillaria collinsii
Mammillaria voburnensis var. quetzalcoatl Reppenhagen
Mammillaria voburnensis var. eichlamii (Quehl) Reppenhagen
          Synonym: Mammillaria eichlamii

Polyedra-Group
Mammillaria carnea Zuccarini

          Synonym:  Mammillaria aeruginosa, Mammillaria pallescens, Mammillaria subtetragona, Mammillaria villifera var. carnea
Mammillaria multiseta Ehrenberg
Mammillaria polyedra Martius

          Synonym:  Mammillaria polytricha, Mammillaria villifera

Mystax-Group
Mammillaria casoi Bravo
          Synonym: Mammillaria mixtecensis
Mammillaria erythra Reppenhagen
Mammillaria huajuapensis Bravo
Mammillaria mystax Martius

          Synonym:  Mammillaria atroflorens, Mammillaria autumnalis, Mammillaria crispiseta, Mammillaria funkii, Mammillaria leucotricha, Mammillaria maschalacantha, Mammillaria mutabilis, Mammillaria neomystax, Mammillaria senkii, Mammillaria xanthotricha
Mammillaria sartorii J. A. Purpus
          Synonym: Mammillaria tenampensis
Mammillaria varieaculeata Buchenau

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