Silva Center for Phycological Documentation: Index Nominum Algarum

The INA is a card file and online reporting system maintained at the Silva Center for Phycological Documentation of the University Herbarium, University of California, Berkeley. It contains nearly 200,000 names of algae (in the broad sense). The BPU is a card file containing bibliographic references pertaining to algal taxonomy.
A working list of algal type specimens at UC is available here

Results from INA database

Rhexinema sarcinoideum_('sarcinoidea')(Groover & H.C. Bold) T. Darienko & T. Pröschold Phytotaxa 324: 28 2017
Rhexinema planctonicum_('planctonica')(Whitford) T. Darienko & T. Pröschold Phytotaxa 324: 29 2017
Rhexinema edaphicum_('edaphica')T. Darienko, T. Pröschold & Lukes\*vová in Darienko & Pröschold Phytotaxa 324: 30, fig. 19 2017
Rhexinema sanctae-tomae_('sancta-tomea')T. Darienko & T. Pröschold Phytotaxa 324: 32, figs. 16F,G, 20 2017
RHEXINEMAL. Geitler image
Rhexinema erumpens(T.R. Deason & H.C. Bold) K.H.O. Printz image
Rhexinema terrestris 'Fritsch &John' image