domestic/foreign/alien 区别

domestic/foreign/alien 区别
外教研出的一本《商务英语入门》中有一个关于corporation的分类.因为全英版,本人有的不是很懂,
1.private co.--attempts to earn a satisfactory profit(那就是私有的公司咯?)
2.public--owned and run by the government (go public不是上市公司吗?可是按照这个英文,应该是国有才对?矛盾?)
3.closed --stock held by only a few onwers and not actively sold on the stock market（未上市公司?不懂）
4.open --stock held by numerous people and actively sold on the stock market (上市公司?)
5.municipal-- cities and townships that carry out business(市政企业?)
6.domestic--incorporated in one province or country and doing busuness within that province or country (省内企业?有够奇怪的)
7.foreign--incorporated in one province or country and doing business in abother province or country (到底是省内企业还是国内企业?)
8.alien--incorporated in one nation and operating in another nation (和foreign有什么区别?)
9.nonprofit--service organization incorporated for limited-liability status(这个我知道,非盈利的嘛~)
第2个，public，根据书中的解释，应该是国有的。但是实际上是上市公司，所以，是否书有错误呢？