Subgenus Coryphantha

II.A Section Coryphantha

II.A.a Series Retusae

17.a. C. elephantidens ssp. elephantidens

17.b. C. elephantidens ssp. bumamma

17.c. C. elephantidens ssp. greenwoodii

II.A.b Series Pycnacanthae

19. C. pycnacantha

20. C. tripugionacantha

II.A.c Series Salinenses

21. C. kracikii

22. C. salinensis

23. C. difficilis

F.2 Radial spines all needle-like G.1 Central spine straight

H.1 Central spine pointing upward

H.2 1 Central spine porrect

G.2 Central spine curved

H.1 Tubercles 20-22 mm wide H.2 Tubercles 14-17 mm wide

H.3 Tubercles 25-30 mm wide

E.2 Tubercles upright, conical

F.1 No central spine, radial spines less than 7 F.2 Central spine always present, radial spines 7-15 G.1 Central spine(s) never hooked G.2 Central spine always hooked H.1 Tubercles at the base more than 20 mm wide H.2 Tubercles at the base up to 12 mm wide

E.3 Tubercles porrect, conical F.1 Central spines 0-1

G.1 Tubercles at the base more than 12 mm wide

H.1 Upper radial spines bundled

1.1 Tubercles in 5 and 8 series

1.2 Tubercles in 8 and 13 series H.2 Upper radial spines not bundled

1.1 Plants solitary

J.1 Upper side of tubercles up to 7 mm long J.2 Upper side of tubercles more than 8 mm long

1.2 Group-forming

J.1 Central spine curved downward J.2 Central spine straight, porrect

G.2 Tubercles at the base up to 12 mm wide H.1 Upper radial spines bundled or densely set

I.1 Tubercles at the base 7-9 mm wide

24.a. C. durangensis ssp. durangensis

24.b. C. durangensis ssp. cuencamensis

25. C. longicornis

26.a. C. pallida ssp. pall-ida

26.b. C. pallida ssp. calipensis

II.A.d Series Coryphantha

27. C. maiz-tablasensis

28. C. sulcata

29.a. C. hintoniorum ssp. hintoniorum 29.b. C. hintoniorum ssp. geoffreyi

II.A.e Series Corniferae Subseries a. Corniferae

30. C. nickelsiae

31. C. pseudonickelsiae

32. C. compacta

33. C. cornifera

34.a. C. recurvata ssp. recurvata

34.b. C. recurvata ssp. canatlanensis

35. C. delicata

1.2 Tubercles at the base 11 mm wide H.2 Radial spines radiating regularly

1.1 Epidermis greyish-green

1.2 Epidermis grass-green

F.2 Central spines always 3-4

G.1 Tubercles at the base 15-25 mm wide H.1 Upper radial spines bundled H.2 Radial spines radiating regularly

1.1 Radial spines 14-20

1.2 Radial spines 12-13

G.2 Tubercles at the base up to 12 mm wide H.1 Body slender, columnar H.2 Body globose to short-cylindrical

1.1 Central spines irregularly protruding

1.2 Central spines in bird's foot arrangement

B.2 Tubercles at the base less than 7 mm wide, seeds globose

36. C. neglecta

37.a. C. pseudoechinus ssp. pseudoechinus

37.b C. pseudoechinus ssp. laui

Subseries b. Delaetianae

38. C. delaetiana

39 a. C. ramillosa ssp. ramillosa

39 b. C. ramillosa ssp. san-tarosa

40. C. pulleineana

41. C. werdermannii

42. C. echinus

II.B Section Gracilicoryphantha

43. C. gracilis

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