The sentencing of the defendants marks the end of a painstaking two-year investigation into the disorder which was greatly assisted by police body camera footage from officers at the scene.
Others at the meeting were able to record much of the incident on their mobile phones, which police were able to recover.
Police footage showed Shamin Hussain at the beginning of the meeting before there was any trouble.
He then involved himself in the violence and at one point he is clearly in possession of a hammer that he brings down on the head of another man twice.
At the time he struck the blows he was within a couple of feet of police who were present at the meeting.
After the attack Hussain claimed he had been acting in self defence.
There had been long-running tensions over how the centre should be run, with members broadly split into two opposing groups.
Among the issues was a disagreement about whether people who did not live in the vicinity should be eligible to sit on the committee and vote in elections.
There had also been allegations of financial mismanagement.
The meeting had been branded “ unconstitutional” by some as it took place just days before a committee election was scheduled.
Detective Superintendent Pat Twiggs, who led the investigation, said: “The scenes of violence witnessed that day at what was supposed to be an organised community meeting were absolutely appalling. Against a background of tensions around the centre’s hierarchy, a large number of people went to the meeting intent on causing violence, with some having hidden weapons around the building ready to use.
"The meeting very swiftly descended into large-scale disorder with a number of men attacking each other with weapons, including iron bars and knives, resulting in a number of injuries including serious head injuries.
“The local community police officer and his two PCSO colleagues, who had attended to support the event, found themselves vastly outnumbered and in the midst of a really dangerous and intimidating situation that was completely unexpected.
“Despite that, they did everything they could to protect people and restore order, and put themselves in between those who were fighting until other colleagues arrived.
"It was a really frightening situation for them to be faced with and one which illustrates quite clearly the risks officers can face as they work to protect our communities and keep people safe. As a result of a lengthy and comprehensive investigation and through close liaison with the Crown Prosecution Service’s complex casework unit, we brought a total of 56 charges against 34 individuals.
"A total of 32 have now been convicted of those offences, with the most serious attracting significant prison sentences.
"This incident caused understandable concern in the community and also attracted a national focus which put Leeds in a negative light.
"West Yorkshire Police will not tolerate anyone who seeks to settle their differences with violence and will always take robust action against those who do. We hope the conclusion of this case will serve to reassure the community and provide a deterrent to those who think they can act outside of the law.”