SEOUL, South Korea — Barely two months after its crown prince was sent to prison on corruption charges, the family that controls Samsung’s vast business empire is again facing allegations of white-collar crime.

The South Korean police raided the head office of Samsung’s construction arm on Wednesday as they investigated whether Lee Kun-hee, the group’s patriarch, had misappropriated company funds to renovate his family’s home. Investigators will soon begin questioning others, including company officials, an officer involved with the investigation said.

The construction arm, a unit inside the Samsung C&T Corporation, said on Wednesday that it could not comment on a continuing police inquiry. It had previously disputed the allegations. The police officer, who asked not to be identified because he was not authorized to speak publicly, declined to disclose how much money investigators believe may have been involved.

The investigation follows the conviction in August of Mr. Lee’s son, Lee Jae-yong, 49, who is vice chairman of Samsung Electronics, the most profitable arm of the company. The younger Mr. Lee was sentenced to five years in prison for bribery. He has appealed the conviction.