This is a table essentially based on Gentry 1982. See below for a more up to date table.
 

 GROUP

 SPECIES

 SYNONYMS

 AUTHOR

 Americanae

 americana cv. marginata

 americana v. marginata

 Hort.
   

 americana v. variegata

 Hort.
 

 americana cv. mediopicta

americana v. mediopicta 

 Hort.
 

americana cv. mediopicta f.alba

americana v. mediopicta f. alba 

 Hort.
 

 americana cv. picta***

 americana v. picta

 Terraciono 1885
   

ingens 

 Berger 1915
   

picta

 Salm Dyck 1859
 

 americana cv. striata

 americana v. striata

 Hort.
 

 americana cv. variegata

 americana v. marginata

 Hort.
   

 americana v. variegata

 Hort.
 

americana ssp. protamericana
 

 Gentry 1982
 

 americana v. americana
 

 Linnaeus 1753
   

 complicata

 Trelease 1913
   

 felina

 Trelease 1920
   

 gracilispina

 Engelmann 1914
   

 ingens

 Berger 1915
   

 mediomixta

 Trelease 1913
   

 melliflua

 Trelease 1914
   

 milleri

 Haworth
   

 ramosa

 Moensch
   

 rasconensis

 Trelease 1914
   

 spectabilis

 Salisbury
   

 subzonata

 Trelease 1920
   

 zonata

 Trelease 1914
 

 americana v. expansa
 

 Gentry 1972
   

 abrupta

 Trelease 1920
   

 expansa

 Jacobi 1868
 

 americana v. oaxacensis
 

 Gentry 1982
 

 asperrima ssp. asperrima
 

 Ullrich 1992
   

 asperrima

 Jacobi 1864
   

 caeciliana

 Berger 1915
   

 scabra

 Salm Dyck 1859
   

 scabra ssp. scabra

Gentry 1982
 

 asperrima ssp. madarensis
 

Ullrich 1992
   

 scabra ssp. madarensis

Gentry 1982 
 

 asperrima ssp. potosiensis
 

 Ullrich 1992
   

 scabra ssp.potosiensis

 Gentry 1982
 

 asperrima ssp. zarcensis
 

 Ullrich 1992
   

 scabra ssp. zarcensis

 Gentry 1982
 

 franzosini
 

 Baker 1892
   

 frederici

 Berger 1915
 

 lurida
 

 Aiton 1789
   

 breviscapa

Berger ex. Roster
   

 mexicana

 Lemaire
   

 vernae

 Berger 1915
 

 oroensis
 

 Gentry 1982
 

 scaposa
 

 Gentry 1982

 Campaniflorae

 aurea
 

 Brandegee 1889
   

 campaniflora

 Trelease 1912
 

 capensis
 

 Gentry 1978
   

 brandegeei

 Hort. 1912
 

 promontorii
 

 Trelease 1912

 Crenatae

 bovicornuta
 

 Gentry 1942
 

 calodonta
 

 Berger 1912
   

 scolymus

Berger 1898
 

 cupreata
 

 Berger 1915
 

 hookeri
 

 Jacobi 1866
 

 inaequidens ssp. inaequidens
 

 Gentry 1982
   

 crenata

 Jacobi 1866
   

 inaequidens

 Koch 1864
   

 megalacantha

 Hemsl. 1880
   

 mescal

 Koch 1865
 

inaequidens ssp. barrancensis
 

 Gentry 1982
 

 jaiboli
 

 Gentry 1972
 

 maximiliana
 

 Baker 1877
   

 conjuncta

 Berger 1915
   

 katharinae

 Berger 1915
 

 maximiliana v. katharinae
 

 Gentry 1982
   

 katharinae

 Berger 1915

 Deserticolae

 avellanidens
 

 Trelease 1912
 

 cerulata ssp. cerulata
 

 Gentry 1982
   

 cerulata

 Trelease 1912
 

 cerulata ssp. dentiens
 

Gentry 1978
   

 dentiens

 Trelease 1912
 

 cerulata ssp. nelsonii
 

 Gentry 1978
   

 nelsonii

 Trelease 1912
 

 cerulata ssp. cerulata
 

 Gentry 1978
 

 desertii ssp.desertii
 

 Gentry 1982
   

 consociata

 Trelease 1912
   

 desertii

 Engelmann 1875
 

 desertii ssp. pringlei
 

 Gentry 1978
   

 pringlei

 Engelmann 1888
 

 desertii ssp. subsimplex
 

 Gentry 1978
 

 gigantensis
 

Gentry 1978
 

 margaritae
 

 Brandegee 1889
   

 connochaetodon

 Trelease 1912
 

 mckelveyana
 

 Gentry 1970
 

 moranii
 

 Gentry 1978
 

 sobria ssp. frailensis
 

 Gentry 1978
 

 sobria ssp. roseana
 

 Gentry 1978
   

 roseana

 Trelease 1912
   

 sobria v. roseana

 Johnston 1924
 

 sobria ssp. sobria
 

 Gentry 1982
   

 affinis

 Trelease 1912
   

 carminis

 Trelease 1912
   

 slevenii

 Johnson 1924
   

 sobria

 Brandegee 1889
 

 subsimplex
 

 Trelease 1912
 

 vizcainoensis
 

 Gentry 1978

 Ditepalae

 applanata
 

 Koch ex Jacobi 1864
 

 colorata
 

 Gentry 1942
 

 delamateri
 

 Hodgson & Slauson 1995
 

 durangensis
 

 Gentry 1982
 

 flexispina
 

 Trelease 1920
 

 fortiflora
 

Gentry 1972
 

 murpheyi
 

 Gibson 1935
 

 palmeri ssp. chrysantha
 

 Ullrich 1992
   

 chrysantha

 Peebles 1935
   

 palmeri v. chrysantha

 Little ex Benson 1943
   

 repanda

 Trelease
 

 palmeri ssp. palmeri
 

 Ullrich 1992
   

 palmeri

 Engelmann 1875
 

 shrevei ssp. magna
 

 Gentry 1982
   

 shrevei

 Gentry 1942
 

 shrevei ssp. matapensis
 

 Gentry 1972
 

 shrevei ssp. shrevei
 

 Gentry 1972
   

 shrevei

 Gentry 1942
 

 wocomahi
 

 Gentry 1942

 Hiemiflorae

 atrovirens
 

 Ullrich 1990
   

 coccinea

 Roezl ex Jacobi 1865
   

 macroculmis

 Todaro 1878
   

 mirabilis

 Trelease 1920
   

 latissima

 Jacobi 1864
 

 atrovirens v. mirabilis
 

 Gentry 1982
   

 mirabilis

 Trelease 1920
 

 congesta
 

 Gentry 1982
 

 hiemiflora
 

 Gentry 1982
 

 hurteri
 

 Trelease 1915
   

 samalana

 Trelease 1915
 

 lagunae
 

 Trelease 1915
 

 isthmensis
 

Garcia- Mendoza 1993
 

 pachycentra
 

 Trelease 1915
   

 eichlami

 Berger 1915
   

 opacidens

Trelease 1915
   

 tenuispina

 Trelease 1915
   

 weingartii

 Berger 1915
 

 parvidentata
 

 Trelease 1925
   

 compacta

 Trelease 1927
 

 potatorum
 

 Zuccarini 1833
   

 galeotti

 Baker 1877
   

 grandibracteata

 Ross
   

potatorum v. verschaffeltii 

Berger 1915 
   

 saundersii

 Hooker 1865
   

 scolymus

 Karwinsky 1834
   

verschaffeltti 

 Lemaire 1868
 

 seemanniana ssp. pygmae
 

 Ullrich 1992
   

 pygmae

 Gentry 1982
 

 seemanniana ssp. seemanniana
 

 Ullrich 1992
   

 carol-schmidtii

 Berger 1915
   

 guatemalensis

 Berger 1915
   

 seemanniana

 Jacobi 1868
   

 tortispina

 Trelease 1915
 

 thomasae
 

 Trelease 1915
 

 wercklei
 

Weber ex Berger 1915

 Marmoratae

 grijalvensis
 

 Ullrich 1990
 

 gypsophila
 

 Gentry 1982
 

 marmorata
 

 Roezl 1833
   

 todaroi

 Baker 1888
 

 nayaritensis
 

 Gentry 1982
 

 valenciana
 

 Chazaro- Basanez & Vazquez-Garcia 2004
 

 zebra
 

 Gentry 1972

 Parryanae

 gracilipes
 

 Trelease 1912
 

 guadalajarana
 

 Trelease 1920
 

 havardiana
 

 Trelease 1912
 

 ovatifolia
 

 Starr & Villareal 2002
   

 noah

  Nickels
 

 parrasana
 

 Berger 1906
 

 parryi ssp. neomexicana
 

 Ullrich 1992
   

 neomexicana

Wooton&Standley 1913
 

 parryi ssp. parryi
 

 Ullrich 1992
   

 americana v. latifolia

 Torrey 1859
   

 applanata v. parryi

 Mulford 1896
   

applanata v.huachucensis

 Mulford 1896
   

 chihuahuana

 Trelease 1911
   

 couesii

 Engelmann ex Trelease 1912
   

 huachucensis

 Baker 1888
   

 marcusi

 De Smet
   

parryi f. integrifolia 

 Breitung 1963
   

 parryi v. couesii

 Kearney & Peebles 1939
   

 parryi v. huachucensis

 Little ex. Benson 1953
   

 parryi v. truncata

 Gentry 1982
   

 patonii

 Trelease 1912
   

 scabra

 Salm Dyck 1859
   

 wislizeni

 Engelmann 1875

 Rigidae

 aktites
 

 Gentry 1972
 

 cantala
 

 Roxburgh 1814
   

 candalabrum

 Todaro 1878
   

 cantula

 Roxburgh 1832
   

 rumphii

 Jacobi 1865
 

 cantala v. acuispina
 

 Gentry 1982
   

 acuispina

  Trelease 1925
 

 datylio
 

 Simon ex. Weber 1902
 

 datylio v. vexans
 

 Johnston 1924
   

 vexans

 Trelease 1912
 

 decipiens
 

 Baker 1892
   

 laxifolia

 Baker 1896
 

 fourcroydes
 

 Lemaire 1864
   

 elongata

 Berger 1915
   

 ixtli v. elongata

 Baker
   

 ixtlioides

 Lemaire ex. Jacobi
   

 rigida v. elongata

 Baker
   

 sullivani

 Trelease 1920
 

 karwinskii
 

 Zuccarini 1833
   

 bakeri

 Ross 1894
   

 corderoyi

 Baker 1877
 

 macroacantha
 

 Zuccarini 1833
 

 rhodacantha
 

 Laferriere 1995
 

 stringens
 

 Trelease 1915
 

 tequilana
 

 Weber 1902
   

 palmaris

 Trelease 1920
   

 pedrosana

 Trelease 1920
   

 pes-mulae

 Trelease 1920
   

 pseudotequilana

 Trelease 1920
   

 subtilis

 Trelease 1920
 

 tequilana cv. Limeno
 

Kimnach 1995
 

 tequilana cv. variegata
 

 Hort.

 Salmianae

 gentryi
 

 Ullrich 1990
 

 mapisaga v. lisa
 

 Gentry 1982
 

 mapisaga v. mapisaga
 

 Gentry 1982
   

 mapisaga

 Trelease 1920
 

 montana
 

 Villarreal 1996
 

 salmiana ssp. crassispina
 

 Gentry 1982
   

 crassispina

 Trelease 1914
 

 salmiana ssp. salmiana
 

Gentry 1982
   

atrovirens v. sigmatophylla

 Berger 1915
   

 coarctata

 Jacobi 1868
   

 cochlearis

 Jacobi 1870
   

 compluviata

 Trelease 1914
   

 jacobiana

 Salm Dyck 1859
   

 lehmanii

 Jacobi 1868
   

 mitriformis

 Jacobi 1868
   

 quioitifera

 Trelease 1913
   

 salmiana

 Salm Dyck 1859
   

 tehuacanensis

 Karwinsky ex. Salm Dyck 1859
 

 salmiana v. angustifolia
 

 Berger 1915
 

 salmiana v. ferox
 

 Gentry 1982
   

  ferox

 Koch 1860
 

 tecta
 

 Trelease 1915

 Sisalanae

 desmettiana
 

 Jacobi 1866
   

 miradorensis

 Jacobi 1868
   

 regeliana

 Jacobi 1866
 

 kewensis
 

 Jacobi 1897
 

 neglecta
 

 Small 1903
 

 sisalana
 

 Perrine 1838
   

 sisalana v. armata

 Trelease 1913
 

 weberi
 

Cels ex. Poisson 1901 
   

 franceschiana

 Trelease 1912

  Umbellliflorae

 sebastiana
 

 Greene 1885
   

 ? disjuncta

 Trelease 1912
   

 shawii v. sebastiana

 Gentry 1949
 

 shawii ssp. goldmaniana
 

 Gentry 1982
   

 goldmaniana

 Trelease 1912
 

 shawii ssp. shawii
 

 Gentry 1982
   

 orcuttiana

 Trelease 1912
   

 pachyacantha

 Trelease 1912
   

 shawii

 Engelmann 1875

 Viviparae

 vivipara cv. marginata
 
 Hort
Forster 1992
   

 angustifolia v. marginata

 Hort ex Gentry 1982
 

 vivpara cv. variegata
 
 Hort
Forster 1992
   

 angustifolia v. variegata

Trelease 1908
 

 vivipara v. deweyana
 

 Forster 1992
   

  angustifolia v. deweyana

  Gentry 1982
   

 deweyana

 Trelease 1909
 

 vivipara v. letonae
 

 Forster 1992
   

   angustifolia v. letonae

 Gentry 1982
   

  letonae

   Taylor ex. Trelease 1925
 

 vivipara v. nivea
 

 Forster 1992
   

  angustifolia v. nivea

  Gentry 1982
   

 nivea

  Trelease 1915
 

 vivipara v. sargentii
 

 Forster 1992
   

  angustifolia v. sargentii

  Trelease 1912
 

 vivipara v. vivipara
 

 Linnaeus 1753
   

  aboriginum

 Trelease 1907
   

angustifolia v.angustifolia 

  Haworth 1821
   

  angustifolia v. rubescens

  Gentry 1982
   

  bergeri

 Trelease 1915
   

  breedlovei

  Gentry 1982
   

 costaricana

 Gentry 1982
   

  donnell-smithii

 Trelease 1915
   

  elongata

 Jacobi 1865
   

  endlichiana

 Trelease 1907
   

 erubescens

 Ellemeet 1871
   

  excelsa

 Baker 1877
   

 excelsa

 Jacobi 1866
   

 flaccida

 Haworth 1812
   

 flaccida

 Salm-Dyck 1834
   

  flavovirens

   Jacobi
   

 ixtlii

  Karwinsky 1837
   

  ixtlii v. excelsa

  Terracciono
   

  ixtlioides

 Hooker 1871
   

   jacquiniana

  Schultes 1829
   

 kirschneriana

  Berger 1915
   

  lespinassei

 Trelease 1907
   

 lurida

Jacquin 1793
   

 lurida v. jacquiniana

 Ker Gawl ex Hemsley 1884
   

 owenii
 Johnston 1924
   

 pacifica

 Trelease 1920
   

 panamana

  Trelease 1920
   

 prainiana

  Berger 1915
   

  prolifera

  Schott ex Standley 1930
   

 punctata

Salm-Dyck 1834
   

 rigida

Miller 1768
   

 rigida

 Berger
   

 rubescens
  Salm Dyck 1834
   

 serrulata

 Karwinsky ex Otto 1842
   

  sicaefolia

  Trelease 1915
   

 sobolifera var. serrulata

 Terracciano
   

  spectabilis

 Todaro 1878
   

 vera-cruz var. jacquiniana

 Ascherson & Graebner
   

  vivipara

 Wight
   

 vivipara v. rubescens

 Forster 1992
   

 vivipara v. woodrowii

 Hort ex Berger
   

  wightii

 Drummond & Prain 1906
   

  wrightii

  Drummond 1909
   

  yaquiana

 Trelease 1920
   

 zazupe

 Trelease 1907
 
(***N.B. In 1992 Forster suggested that the various striped forms of agave americana should be designated as cultivars i.e. cv. and not as formal varieties of americana. this is reflected in the above table. Gentry, who is of the opinion that these forms do not merit formal variety status, uses agave picta as a general term for these various striped plants, noting that the striped patterns lack consistency from generation to generation ).
 
 
Since the original above classification, primarily based on Gentry, was produced in the early days of this website the genus has undergone several revisions and below is a newer classification. The original source for this is 'The Illustrated Handbook of Succulent plants' by Dr. Joachim Thiede (2001).
The agave scene is constantly changing with the post Gentry discovery and naming of new species and revisions of Gentry's work. A recent example of this is the revision of the Deserticolae group and a new look, based on up to date studies in habitat, of the agaves of Baja California by Webb & Starr (2015). Fritz Hochstaetter is producing yet another revision of the genus agave and the work on the subgenus agave is now available online in German (see link on main page). Subgenus littaea is in preparation and the whole work will eventually be available in book form and in English.
Thus these tables risk being out of date quite rapidly.
 

 GROUP

 AUTHOR

 includes

 SPECIES

 Agave
 

 Americanae (Baker 1888)

 americana
     

 asperrima
     

 franzosinii
     

 lurida
     

 neglecta
     

 oroensis
     

 scaposa
     

 weberi

 Applanatae

 Trelease 1912

Dipetalae ( Gentry 1982)

 applanata
     

 chrysantha
     

 colorata
     

 delamateri
     

 durangensis
     

 flexispina
     

 fortiflora
     

 grijalvensis
     

 murpheyi
     

 palmeri
     

 shrevei
     

 temacapulinensis
     

 wocomahi

 Campaniflorae

 Trelease 1912
 

aurea 
     

 capensis
     

 maximiliana
     

promontorii 

 Costaricenses 

Trelease 1913

 Guatemalenses (Trelease 1915) Scolymoides (Berger 1915) Hiemiflorae (Gentry 1982)

 atrovirens
     

congesta
   

hiemiflora
     

hurteri
     

 isthmensis
     

 lagunae
     

 nussaviorum
     

 pachycentra
     

parvidentata 
     

  potatorum
     

seemanniana 
     

thomasae

 Crenatae

  Berger 1915
 

wercklei 
     

bovicornuta  
     

 calodonta 
     

  cupreata
     

  hookeri
     

inaequidens 
     

 jaiboli 

 Deserticolae

 Trelease 1912
 

 avellanidens
     

 cerulata
     

 desertii
     

 gigantensis
     

 margaritae
     

 mckelveyana
     

 moranii
     

 sobria
     

 subsimplex
     

 turneri
     

 vizcainoensis

 Marmoratae

 Berger 1915
 

 gypsophila
     

 marmorata
     

nayaritensis 
     

 valenciana
     

 zebra

 Parryanae

 Gentry 1982
 

 guadalajarana
     

 havardiana
     

 neomexicana
     

 ovatifolia
     

 parrasana
     

 parryi

 Salmianae

 Berger 1915
 

 gentryi
     

 mapisaga
     

 montana
     

 salmiana
     

 tecta

 Umbelliflorae

 Trelease 1912
 

 sebastiana
     

 shawii

 Viviparae

 Trelease 1913

 Sisalanae (Trelease 1913) ; Rigidae (Berger 1915)

 aktites
     

 angustifolia / vivipara
     

 cantala
     

 datylio
     

 decipiens
     

 fourcroydes
     

 karwinskii
     

 macroacantha
     

 rhodacantha
     

 sisalana
     

 stringens
     

 tequilana
     

 vivipara / angustifolia
 
The name agave vivipara appears several times in the literature from various authors ( Dalziel and Gibbs;Haworth; Linnaeus; Oldendorp ; Wight ) in various lists and refers to plants described in Barbados, Costa Rica and the Leeward Islands as well as the American mainland. It was proposed by D.O.Wijnands in 1983 , P.Foster in 1992 and by G. Smith and E.Steyn in 1999 that the name is now specifically applied to plants formerly known as the variable complex of agave angustifolia.
In 2003 Garcia-Mendoza and Chiang published a paper in which they show that in fact angustifolia and vivipara are separate taxa and should not be considered as one and the same plant ( Brittonia 2003; 55:82-87).
This shows that there is some disagreement concerning the status of agave angustifolia and agave vivipara. Ullrich (1990) and Thiede (2001) called the plants from the american continent (previously known as agave angustifolia) agave vivipara. This supposes that they are one and the same as the Caribbean vivipara. There is a strong body of opinion stating that the name angustifolia should be retained for the non Caribbean plants and consequently they should form part of Gentry's group Rigidae.