Other groups include Pakistan-based Lashkar-e-Taiba, which carried out the deadly 2008 assault in Mumbai, India.
Officials said they had also shut several schools run by a charity linked to Lashkar-e-Taiba.
India accused Pakistan-based fighters from the banned militant group Lashkar-e-Taiba of carrying out the attacks.
Tahawwur Rana was convicted in 2011 of providing material support for the Pakistani group, Lashkar-e-Taiba (LeT).
This same A.P. report said that Lashkar-e-Taiba received funding from organizations in Saudi Arabia and Kuwait.
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Another group, Lashkar-e-Taiba, blamed for the devastating attack on Mumbai in 2008, also has Punjab as its home.
Earlier Pakistani Defence Minister Ahmad Mukhtar said Jaish-e-Mohammad founder Masood Azhar and Lashkar-e-Taiba commander Zaki-ur-Rehman Lakhvi had been held.
The group, considered close the Pakistani army, is led by Hafiz Saeed, the founder of the banned jihadist outfit, Lashkar-e-Taiba.
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India has blamed Pakistan-based militant group Lashkar-e-Taiba (LeT) for the attacks, which began on 26 November and lasted three days.
India blamed Lashkar-e-Taiba, a Pakistan-based militant organisation, for the attacks in which more than 170 people, including nine gunmen, died.
There was bafflement this week at the release of Hafiz Mohammad Saeed, the leader of Lashkar-e-Taiba, a banned militant group.
It is immaterial whether or not the Taliban, the Haqqani network, Lashkar-e-Taiba and the others are currently targeting the American homeland.
Fingers could be pointed at jihadis based over the border, notably Lashkar-e-Taiba (LET) which was behind the 2008 attack and others.
The Indian government has demanded that Lashkar-e-Taiba leaders be extradited, while Pakistan has insisted any prosecutions would take place on its soil.
Those attacks were carried out by terrorists from the Pakistan-based Lashkar-e-Taiba organization.
India has blamed the 2008 Mumbai attacks on Lashkar-e-Taiba, which denies involvement.
Many officials in India, Pakistan and the U.S. are concerned that Lashkar-e-Taiba will launch another spectacular attack to torpedo Mr. Sharif's India overtures.
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Many officials in India, Pakistan and the U.S. are concerned that Lashkar-e-Taiba will launch yet another such spectacular attack to torpedo Mr. Sharif's India overtures.
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According to Wikileaks, Mr Gandhi told a US envoy last year there was some support among Indian Muslims for militants such as Lashkar-e-Taiba.
These outrages are routinely blamed on jihadist groups such as Harkat-ul-Jihad-al-Islami, tied to Bangladeshi militants, or Lashkar-e-Taiba, whose spiritual leader sermonises from Pakistan.
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In 2009, Pakistan arrested and charged seven people, including suspected mastermind Zaki-ur-Rehman Lakhvi, who is alleged to head the Pakistan-based militant group Lashkar-e-Taiba.
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Reports say Pakistani police have also ordered the sealing of some offices used by Jamaat-ud-Dawa, the Islamic charity seen as a front for Lashkar-e-Taiba.
Late last year, Pakistan charged seven people in connection with the attacks, including the suspected mastermind Zaki-ur-Rehman Lakhvi, who is alleged to head Lashkar-e-Taiba.
Indian investigators have said survivor Azam Amir Qasab was indoctrinated by Lashkar-e-Taiba (Soldiers of the Pure) and trained at a camp run by the group.
David Coleman Headley, 52, was sentenced on 12 counts, including conspiracy to aid militants from the Pakistani group Lashkar-e-Taiba (LeT) who carried out the attacks.
U.S. and Indian officials say the attack was carried out by the Pakistani extremist group Lashkar-e-Taiba, which has enjoyed protection by elements of Pakistan's security establishment.
Those attacks, which targeted two high-end hotels, a busy train station, a Jewish centre and other sites frequented by foreigners, were blamed on the Pakistan-based Lashkar-e-Taiba militant group.
Some of these franchises have forged associations with notorious criminals like Dawood Ibrahim, whose large criminal syndicate has collaborated with Lashkar-e-Taiba, which pulled off the 2008 Mumbai attacks.
His brief was to procure SIM cards for Lashkar-e-Taiba fighters and pass the numbers to police so that all calls from those numbers could be monitored by intelligence.
The caller said Lashkar-e-Taiba al-Almi had split from the larger Pakistan-based militant group Lashkar-e-Taiba because the latter "took its orders from Pakistan's intelligence agency ISI", The Hindu said.
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