Jailbreak iOS 8.1.1 is out with TaiG. Late last night, TaiG team released an official jailbreak for iOS 8.1.1, in my opinion, they just give out an exploit to apple because apple already release 8.2 beta for test. 811 is the latest public firmware Apple has released and they patches Pangu8 jailbreak. this one Taig is Windows-only and its Chinese, and actually, it works and Mac OS X version will be released in the future.
Jailbreak iOS 8.1.1 is out with TaiG
We will give you a link to teaching you how to jailbreak various devices using TaiG for iOS 8.1.1. The current version of TaiG is version 1.0.1. Note this is untethered jailbreak, which means you can reboot your iOS device just like you normally would.
LINK Tutorial