| Cladonia rigida (Hook. f. & Taylor) Hampe Linnaea 28: 216. Sep 1856. |
| |  Cenomyce rigida Hook. f. & Taylor London J. Bot. 3: 652. 1 Dec 1844. New Zealand, Auckland Islands ('Lord Auckland's group'), J. D. Hooker 1575. |
| | | Lectotype BM, Isolectotype BM, FH-Taylor, H-NYL- No. 38432 |
| | | : Galloway, D. J. 1985. Flora of New Zealand lichens. Wellington. |
| | = Cenomyce acuta Taylor London J. Bot. 6: 186. 1847. 'Islands of the Pacific', (i.e., Auckland Islands?), J. D. Hooker s.n. |
| | | Holotype FH-Taylor, Isotype G |
| | = Cladonia acuta (Taylor) Hue Nouv. Arch. Mus. Hist. Nat., sér. 3, 2: 253. 1890. |
| | = Cladonia rigida var. acuta (Taylor) A. W. Archer Muelleria 7: 175. 30 Mar 1990. |
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