Pangu, a hacking group from China, is one of the most well known ones around the world, as it has released plenty of successful jailbreaking tools for Apple's operating systems. However, the group has failed to crack iOS 10. There have been plenty of theories for why this is so, but the looking at the bigger picture, there are other options to take.
As Neurogadget notes, individuals can opt to instead use Tinyumbrella, which is available for iPhone 6S devices and above. Basically, Tinyumbrella is a software that will downgrade the operating system of the unit back to iOS 9.3. Of course, this means that users will not get the perks and new features of iOS 10, but the software should guarantee a safe downgrade for those that are unhappy with the new OS.
The other choice is to find a Cydia replacement, which is pretty much the main reason to jailbreak a phone anyway. Cydia is an application that allows users to download other applications that are not necessarily found in the Apple Store. But because Cydia requires jailbreaking, which is currently not available, there are other alternatives to use.
The publication goes on to suggest using Mojo, which is also another application but does not require any form of jailbreaking. The only downfall is that not all applications found in Cydia are found in Mojo, as the former definitely has a larger battery. But the trade of is pretty worth it, as iPhone users no longer need to go through the hassle or security doubts of jailbreaking their units.
For those that still prefer a jailbroken iPhone, however, Latin Post confirms that Pangu is still working on a jailbreak and that it has not given up hope. So the wait for an iOS 10 jailbreak tool might finish sometime in the next few weeks. Meanwhile, Apple has already released the new iOS 10.1, which includes a new portrait feature.