No, they are Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donder (or Donner), and Blitzen.
(Not to mention Rudolph...)
dixon
Rudolph's Dixon Nixon
Christoph's reindeer's name is Sven.
The scientific name of the reindeer is Rangifer tarandus.
Skull Dixon's birth name is Joshua Dixon.
Campbell Dixon's birth name is George Campbell Dixon.
Elizabeth Dixon's birth name is Elizabeth Mary Dixon.
Gerald Dixon's birth name is Gerald Scott Dixon.
Gregory Dixon's birth name is Gregory Lee Dixon.
Hanford Dixon's birth name is Hanford Lee Dixon.
Juan Dixon's birth name is Juan Phil Dixon.
Kristofur Dixon's birth name is Kristofur Tracee Dixon.