The aircraft was a Let L-410 Turbolet twin-engine short-range transport aircraft, built in 1987 and owned by a government-linked sports and defence organisation, Army, Aviation and Navy, a sports and defence organisation.
The head of the organisation's Menzelinsk branch, Ravil Nurmukhametov told TSS Media that the parachuting club operating the flight was very experienced and had hosted local, European and world championships.
"We are the best, we are among the top five clubs," he said.
The cause of the crash is being investigated by Russian authorities.
The Investigative Committee, which explores serious crimes, said a criminal investigation was opened for a suspected violation of safety regulations.