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The force is not searching for anyone else concerning the crash, and it is not being treated as a terrorist incident.
Reports first emerged at around 6 pm UK time that a car had driven through a crowd of people at Water Street in the city center, with football fans and emergency services quick to put an end to the serious incident.
This was about 10 minutes after the bus carrying the Liverpool team had passed by," the BBC reporter said.
"Thousands of people were walking down Dale Street when a commotion broke out and people began screaming as a car drove through the crowd.
"I grabbed my daughter and dived out of the way.
"On behalf of all of us here at Liverpool Football Club, I would like to extend our heartfelt thoughts to all those who've been affected by this appalling incident on Water Street yesterday evening," Hogan said in a statement.
Emergency Services scene on Water Street after Liverpool FC Premier League Champions parade
"I'd like to pay tribute to our emergency services and partner agencies – Merseyside Police, North West and St John Ambulance Services, and Merseyside Fire and Rescue – who dealt with the incident, and now our hospital staff across the city who are dealing with those who are injured, including tragically four children.
"I would also like to thank our supporters who witnessed this event and helped each other where they could
We continue to work with the emergency services and the local authorities to support their ongoing investigation and once again we would ask if anyone has any further information about the incident, please contact Merseyside Police."