J.Crew Group Inc. has hired former Victoria’s Secret executive Jan Singer as its next chief executive, according to people familiar with the situation, in an effort to revitalize its namesake brand and reverse a long sales slump.

Ms. Singer will join the closely held company’s board and assume oversight of the J.Crew and J.Crew Factory brands, starting Feb. 2, the people said. Her appointment ends a more than yearlong search for a permanent CEO.

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