iP5 not syncing google contacts or vice versa? Not too sure.

I have a google account and want to sync my contacts list from my iP5 to my google account contacts. For example when I save a new contact on my iP5, it won't show the new contact under my google account contacts on the web. The new contact will save under my iCloud.com contacts. Is it because of "Fetch New Data"? I put "Manually" under fetch but for my Gmail it's "Fetch".