What version of Windows 8 are you speaking of? The RT version (on a tablet) or the PC version. And, if the PC version, are you talking about the Metro "app" or the desktop version of Chrome?
On Windows 8 you can't install some very popular Chrome extensions:
and many other, because Google and M$
have blocked all plugins!
You can't view flash videos or use java on all web sites, but only on several webpages "approved" by M$.
Goog and M$ could monopolize the Internet: