the car rear sways badly as the speed has irs rear end on 2010 Dodge Charger

while jacked up,i can shake the tire from side to side

Asked by for the 2010 Dodge Charger
2 answers
should be covered under warranty call a local dealer and ask questions
If out of warranty , have it on jack stands and have someone wiggle the wheel while you watch underneath. Could be wheel bearing/hub assembly or any number of suspension points.