There are two bands with this name: 1) Depressive Black Metal band from Québec, Canada. Released one full length album, entitled "Thrène". Album is a tribute to Quebec’s damned poet Émile Nelligan.
The band name is Latin for "to commit suicide". Current line-up:
Naer'k Mon: Vocals
L.Efferus: Bass
Morphee: Everything Else Past members:
Narkè: Vocals

Read more about Sui Caedere on Last.fm.