The attorney general for the District of Columbia, Karl A. Racine, has opened a new investigative front against the National Rifle Association, issuing subpoenas on Friday to the gun group and a large affiliated charity.

While the N.R.A. is already under investigation in New York, where it was chartered nearly 150 years ago, its charity was created in Washington, giving Mr. Racine’s office local authority over the organization. Among other things, the new inquiry will examine how funds were moved between the N.R.A. and the charity, known as the N.R.A. Foundation, and whether that money was properly used for charitable purposes.

Earlier this year, The New York Times reported that more than $200 million has flowed from the foundation to the N.R.A. since 2010. That issue has also been a subject of scrutiny in the investigation by the New York attorney general, Letitia James. Donations to the foundation are tax-deductible, while donations to the N.R.A. itself are not. The N.R.A. has said all of the transfers were done properly.

In a statement on Friday, Mr. Racine’s office said it had issued subpoenas “as part of an investigation into whether these entities violated the district’s Nonprofit Act.” The office said it was interested in examining “financial records, payments to vendors, and payments to officers and directors.”