How to know if my site is in Google index?
This question gets asked hundreds of time’s sin websites and forums !!
How to check if goggle had indexed my website
How to check if my website has been crawled by Google
How to check if my website appears in Google search ?
In Google, you can search simply with this code "site:your domain name" or then either download seoquake and there is option for check by the given name google index.
It will shows you that your site is indexed or not.
Extra searches you can perform :
Search “cache:the website url” in Google ( It would show the date indexed)