Question: Which genus has more species, Carex or Bloomeria?

Context paragraphs:
Carex sect. Ovales: Carex" sect.  "Ovales is a section of the genus "Carex", containing around 85 species of sedge.  It is the most diverse section of the genus in North America, containing 72 species:

Bloomeria: Bloomeria, a geophyte in the family Asparagaceae, subfamily Brodiaeoideae, was named for Hiram Green Bloomer (1819–1874) an early San Francisco botanist.  It consists of three species native to California and Baja California:

Carex arenaria: Carex arenaria, or sand sedge, is a species of perennial sedge of the genus "Carex" which is commonly found growing in dunes and other sandy habitats, as the species epithet suggests (Latin "arenarius" , "sandy").  It grows by long stolons under the soil surface.

Carex: Carex is a vast genus of almost 2,000 species of grassy plants in the family Cyperaceae, commonly known as sedges (or seg, in older books).  Other members of the Cyperaceae family are also called sedges, however those of genus "Carex" may be called "true" sedges, and it is the most species-rich genus in the family.  The study of "Carex" is known as caricology.

Carex sect. Spirostachyae: Carex" sect.  "Spirostachyae is a section of the genus "Carex", containing 38 species of sedge.  Species in "Carex" sect.  "Spirostachyae" share a suite of features, including the short internodes of the primary rhizomes, the presence of an antiligule, the leaf-like, sheathing bract at the base of the inflorescence, the presence of three stigmas in female flowers, and the shape of the seeds.

Carex hirta: Carex hirta, the hairy sedge, is a species of sedge found across Europe.  It has characteristic hairy leaves and inflorescences, and is the type species of the genus "Carex".

Carex subg. Carex: Carex" subg.  "Carex is a subgenus of the sedge genus "Carex".  It is the largest of the four traditionally recognised subgenera, containing around 1400 of the 2000 species in the genus.  Its members are characterised by the presence of one or more exclusively male (staminate) terminal spikes, quite dissimilar in appearance from the lateral female (pistillate) spikes below.  In most species, the female flowers have three stigmas, but a few species, including "Carex nigra", have female flowers with only two stigmas.

Carex sect. Macrocephalae: Carex" sect.  "Macrocephalae is a section of the genus "Carex", containing two species.  Both are coastal species of sandy areas beside the northern Pacific Ocean – "Carex kobomugi" from Taiwan to northern China and Japan (and as an invasive species in the north-eastern United States), and "Carex macrocephala" from northern China to Oregon.

Carex tricephala: Carex tricephala is a species in the genus "Carex", family Cyperaceae.  It is one of only about seven species in "Carex" sect.  "Scabrellae".  Members of this section have leaf-like bracts, and small spicate inflorescences.  "Carex tricephala" is native to Southeast Asia, reported from Cambodia, Indonesia, Laos, Myanmar, Thailand, Vietnam and the Chinese province of Yunnan.

Carex cespitosa: Carex cespitosa is a species of perennial sedge of the genus "Carex" which can be found growing in tufts (caespitose), as the Latin specific epithet "cespitosa " suggests.  The name is synonymous with "Carex cespitosa" f. "retorta".

Supporting paragraphs: Carex Bloomeria
Answer: Carex