Police released photos of two additional suspects on Tuesday, labeled as "Suspect 005" and "Suspect 006."
Investigators say they were captured on video kicking and stomping on a defenseless victim on the ground during numerous fights at Veterans Park and the nearby shopping center.
Some 100 officers rushed to the scene earlier this month to break up the crowd.
They eventually drove the crowd to a shopping center across the street from the celebration.
A total of 12 people were arrested that night, and 10 of them were teenagers.
Police say three other suspects, labeled as "Suspect 002", "Suspect 003", and "Suspect 004," were also captured on video kicking and stomping on a defenseless victim near the Veterans Park basketball nets.
Officers are also searching for "Suspect 001" who is accused of attempting to assault a police officer who was trying to disperse the unruly crowd.
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Anyone with information can submit tips anonymously to gtpolice.com/tips or email them to Police@GTPolice.com.