This order is represented by the Family Nyctibiidae (potoos).
Timetree of Nyctibiiformes based on White et al. (2017), with the distribution of each taxon being indicated by the colour-code used throughout this website (see Distribution colour code). The divergence time between Nyctibius and Phyllaemulor has not been determined yet. The depicted timing is just a rough guess given here.
Costa, T.V.V., B.M. Whitney, M.J. Braun, N.D. White, L.F. Silveira, and N. Cleere (2018), A systematic reappraisal of the Rufous Potoo Nyctibius bracteatus
(Nyctibiidae) and description of a new genus, J. Ornithol. 159: 367. https://doi.org/10.1007/s10336-017-1511-2. (abstract)
White, N.D., C. Mitter, and M.J. Braun (2017), Ultraconserved elements resolve the phylogeny of potoos (Aves: Nyctibiidae), J. Avian Biol. 48(6): 872-880.