HFSG were particularly critical of the club’s former chairman Dave Richards, who took over from Bert McGee six months after the incident, and have accused him of a complete lack of respect for the grieving.
Trevor Hicks, the group’s president, expressed his unhappiness at the club's failure to erect a memorial for a decade after the tragedy.
"You could not get much greater contempt for families trying to deal with the loss of their loved ones," Hicks told The Guardian.
|POLICE ADMIT HILLSBOROUGH FAILINGS
"[Lord Justice] Taylor identified their safety failures as contributory causes of the deaths, yet they behaved as if they did think it was the fans' fault. There was no apology."
Under Richards, Sheffield Wednesday refused to accept liability and pay compensation to the victims, instead reaching a confidential settlement with the police.
Under the settlement, the club paid a portion of compensation, but claims from the bereaved and injured were settled “without admission of liability.”
Margaret Aspinall, the chair of the HFSG, levelled criticism at Richards for his role in the club’s refusal of responsibility, and his elevation in recent years to chairman of the Premier League, calling for him to resign from his post as head of England's top flight.
Aspinall said: "I am absolutely appalled and disgusted that after our loved ones died and we were caused so much pain and suffering.
"The chairman of the club where the disaster happened, which failed to put a memorial up for 10 years and treated the families with contempt, has been knighted for services to football and is the chairman of the Premier League.
"While we have been through 23 years of hell fighting for the truth and justice, a lot of people have done very well after Hillsborough. We never got an apology from one of them.
"Certainly, Sir Dave Richards should give up his knighthood and resign as the chairman of the Premier League."