Scottish FA chief executive Gordon Smith has slammed the "mindless minority" of Rangers fans who became involved in violent clashes after travelling to Manchester for the UEFA Cup final.
Smith, a former Rangers player, was dismayed to learn of the trouble which broke out in Manchester city centre on Wednesday evening.
Police officers were attacked when a big screen due to broadcast the game to 20,000 fans in Piccadilly Gardens failed before kick-off.
Fifteen officers were injured and a police dog injured a paw, while one Zenit St Petersburg fan was stabbed at the City of Manchester Stadium.
Eleven Rangers fans, all men, were charged with various offences.
Smith said: "I absolutely condemn this mindless minority who have so shamed our country with their actions.
"Tens of thousands of people went to Manchester and behaved impeccably and were wonderful ambassadors for Rangers and Scotland.
"Unfortunately the headlines are all about the people who could not behave and we all hope that they are caught and are made to pay for their foolish actions."
Stephen Smith of the Rangers Supporters' Trust said the fans' group hoped the club would act against those responsible for the violence, adding that this could include issuing lifetime bans from Ibrox.
"It was a very small minority who were responsible and the vast majority were a credit to the club," he said.
"We would want any of those individuals who are identified to be receiving punitive sanctions from the club, and I am sure they will."
An inquiry is under way and the rampaging fans were described as a "disgrace" who could have jeopardised England's bid to host the 2018 World Cup by Gordon Brown.
The Prime Minister condemned the supporters involved in violent clashes with police and said public drinking laws would also be reviewed.
Meanwhile, Rangers officials have said individuals with no known history of following the club were among those believed to be involved in the trouble.
Rangers chief executive Martin Bain said: "Those scenes obviously are dreadful and I've seen them myself and we have been informed ... that those scenes were caused by supporters that don't normally attach themselves to our support.
"Therefore we're extremely disappointed and we'll do everything we possibly can to help Manchester police find out who those perpetrators are."
UEFA confirmed they are not planning to take any action against Rangers.
"No, at this stage we are not," communications director William Gaillard told Sky Sports News.
"We are still reviewing the situation. We have received one report and we are waiting for a second one."
European football's governing body may take action against Zenit after some of their supporters ventured on to the pitch at the final whistle, to celebrate their 2-0 win.
Gaillard said: "There was an attempt at a pitch invasion on the part of some of the Zenit fans and again we have to look at the report before deciding if our control and disciplinary (body) will take up the matter."
Video footage of Rangers fans attacking police and committing acts of vandalism has emerged since Wednesday, but UEFA were keen to stress that most supporters had stayed out of trouble.
"The overwhelming majority of fans behaved in the proper way," Gaillard said.
"A very small minority caused some trouble.
"In terms of disciplinary procedures we can only deal with what happens at the stadium or within the perimeter of the stadium."
He also claimed England's prospects of hosting major football events could have been enhanced because of the professionalism and enthusiasm of the Manchester authorities and residents.
"The performance of the local organising committee, including the city government and the police and also the citizens of Manchester, has been fantastic," Gaillard said.
"We're all extremely pleased and grateful for what they've done.
"If anything, it probably enhances English chances."
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