The suspects are between the ages of 15 and 30, according to police.
"One of them is suspected of attempted murder, the others are suspected of aiding and abetting attempted murder, or aggravated protection of a criminal," the police wrote on their website.
The suspected shooter and two other people were arrested this weekend.
"One of them is arrested on suspicion of attempted murder. The person is under 18 years of age," wrote prosecutor Helena Nordstrand in an email to TT.
Two more people were arrested on Tuesday.
"They will be interrogated and their phones will be emptied."
The police were called to Fagersjö at 5 p.m. on Saturday, where they found a man with gunshot wounds outdoors in a residential area.
