Checkra1n is a semi-tethered jailbreak. Compatible with A7-A11 device and support iOS 12 - 14.7.1 versions. checkra1n 0.12.3 was released with support for iOS 14.5 and various bug fixes. But not support iOS 14.8.1 - iOS 16.4.1.
Checkra1n virtual jailbreak is available in the Zappfree app store. It supports the iOS 14 - iOS 16.4.1 versions. After installing you can download the Cydia PRO on your iPhone and iPad.