Is money in IDBI bank safe?

I have some hard earned savings I would like to get them into Fixed Deposit. I know that doing it in PostOffice is safe as it is a part of the government. But the interest there is Low.
I would like to know the situation with IDBI bank. I would like to know
Is it a private bank?
Is the money deposited there is safe?
Are your savings guaranteed safe by the government (as in the PostOffice)?