Jammu and Kashmir is the only Indian state permitted to fly its own state flag along with the national flag. Jammu and Kashmir also has a separate constitution which works under Article 370 of the Constitution of India. This is due to the state's special status under the Indian Constitution.
Jammu and Kashmir
What is the only state flag in the USA that incorporates the Battle Flag of the Confederacy (also called the "rebel", "Southern Cross, or "Dixie" flag)?