The group had also hacked CIA website during that time and taken it offline.
Some security professionals have commented that LulzSec has drawn attention to insecure systems and the dangers of password reuse.
At least four associates of LulzSec were arrested in March 2012 as part of this investigation.
British authorities had previously announced the arrests of two teenagers they allege are LulzSec members T-flow and Topiary.
TalkTalk was hacked on Thursday by unknown hackers who demanded ransom money for stolen user information.
Now, hackers claiming to be part of LulzSec have claimed responsibility for part of the attack.
Reports indicate that it will also have to pay out millions to the affected parties in damages.
source: www.techworm.net