(CNN) Abdur Rahman tried to escape as police closed in.
The Islamist leader jumped off a fifth-floor balcony as he fled police during a raid this month, then died in a hospital October 8 from injuries he sustained, a spokesman for Bangladesh's Rapid Action Battalion told CNN.
Investigators believe Rahman ordered the deadly terror attack at a cafe in Dhaka in July that left 21 hostages and two police officers dead after an 11-hour siege. But authorities have not yet determined the extent of Rahman's involvement in the attack, battalion spokesman Maj. Gen. Farhad Hossain Mahmud said.
Hostage situation in Dhaka
Bangladesh security personnel patrol the streets of Dhaka on Saturday, July 2, after gunmen seized a bakery in the capital overnight, killing 20 hostages and two officers, according to the military.
The military says the attackers used guns, explosive devices and "a lot of sharp domestic weapons." The hostages' bodies were found after the standoff ended on Saturday.
Bangladeshi police stand guard outside the Holey Artisan Bakery cafe, where the attack took place. The cafe is in Gulshan, one one of Dhaka's most affluent neighborhoods and a diplomatic enclave.
An injured police officer is led away after the cafe attack in the early hours of July 2 in Dhaka.
Security personnel stand guard at the scene.
People carry an injured man near the cafe.
Another injured person is helped outside the cafe.
An injured police officer sits in a car. The attackers threw explosives at police as they exchanged gunfire, a source at the scene said.
Police take cover near the cafe.
Police officers take security measures.
Police stand armed at the scene of the attack.
An injured police officer is helped at the scene.
Security personnel stand guard near the cafe.
Rahman was the head of Jamaatul Mujahideen Bangladesh, a banned jihadist group that has pledged allegiance to ISIS and whose attacks have focused on religious minorities.
Authorities identified Rahman as the leader of the group through documents and letters seized from the location of the raid, Mahmud said.
ISIS claimed responsibility for the July attack, but officials in Bangladesh maintain the terror group has no presence in the country.
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CNN's Catherine E. Shoichet contributed to this report.