Forum:Is Wikia good for a private wiki?

Hello, my english is not very good, anyway I want to know if I can open a wiki on Wikia to use it privately, just for a little group of person and if, as Admin, I will have the possibility to permit the reading and use of the wiki only to those persons... If that's not possible, do you know some web site where I can open a Mediawiki wiki? Thanks. Andrea