It's done so before in a number of cases.

The report highlights three Georgia prisons as particularly dangerous: Baldwin State Prison, Hays State Prison and Smith State Prison.

Twenty-one percent of the 33 homicides of Georgia prisoners since 2010 took place at Smith State Prison, located in Glennville, Georgia, according to the Southern Center for Human Rights.

But Geraghty is not asking the Justice Department to look at specific prisons; she wants it to investigate the system as a whole.

The center says three times as many prisoners were killed in Georgia in 2012, as compared to 10 years ago, and that in that one year, Georgia had more homicides in its state prisons than some other states' prisons had in the last 10 years.

For context, between 2001-2011, there were 31 state prisoner deaths by homicide reported in Georgia, nine in Alabama, 21 in South Carolina, 44 in Florida, eight in Pennsylvania, seven in Mississippi and 142 in California, the nation's most populous state, according to Justice Department statistics.

"The U.S. Department of Justice should launch a thorough investigation," reads the center's report. "It is not possible to stop all violence in prison. But the frequency and severity of violent incidents that are now occurring in Georgia's prisons do not happen in a well-run system."