The decision by a Staten Island grand jury this week to not bring charges in the police-involved death of Eric Garner may have ended the state criminal inquiry. But the case, against Officer Daniel Pantaleo and others, is far from over. Here is a look at what comes next:

The federal civil rights investigation. Attorney General Eric H. Holder Jr. and Loretta E. Lynch, the United States attorney for the Eastern District of New York and the president’s nominee to succeed Mr. Holder, each said on Wednesday that with the close of the local investigation into Mr. Garner’s death, the Justice Department would move ahead with its own investigation, to determine whether federal civil rights laws were violated.

The Justice Department has in the past waited for local authorities to complete their investigations before initiating a federal inquiry. In 1998, for example, Francis X. Livoti, a former police officer, was convicted of violating the civil rights of Anthony Baez, who died in a confrontation with officers in the Bronx. Mr. Livoti, who received a seven-and-a half-year sentence, had been acquitted of state charges of criminally negligent homicide.

The lawsuit. Mr. Garner’s family has already filed a notice of claim against the city, the Police Department and various officers, seeking $75 million in damages. The comptroller’s office and corporation counsel’s office have said they are reviewing the claim. A lawyer for the Garner family said on Thursday that lawyers are preparing a separate federal civil rights lawsuit to be filed against the city, officers and other defendants, but that no date for the filing has been set.

Police Department discipline. Officer Pantaleo, as well as other officers involved in the case, may still face departmental charges that could result in dismissal. Unlike cases in criminal court or in the federal system, the aim of a police disciplinary proceeding is to determine whether officers violated internal guidelines or rules, from smaller issues like failing to fill out paperwork to significant matters like an unwarranted use of deadly force. The Internal Affairs Bureau investigates questions of wrongdoing and, if found, departmental charges are presented in an internal trial room.