What are the names of Santa's reindeer?

The names of the original reindeer from Clement Moore's "A visit from St. Nicholas" are

Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donder, and Blitzen

Rudolph was added to the lore at a later time.

SOURCE: Best Loved Poems of the American People p. 410 & 411.