Two female basketball coaches turned a Catholic secondary school into Horndog High, bedding students for years under the watch of a skirt-chasing athletic director, according to an alleged victim and three school sources.

The NYPD says it’s now investigating sordid allegations swirling around Moore Catholic HS, a top Staten Island institution founded by nuns in 1962 and charging $8,000 in annual tuition.

Among the claims is that Megan Mahoney, a former assistant women’s basketball coach and gym teacher, had a months-long sexual relationship last year with a 16-year-old student; and that Richard Postiglione, Moore’s athletic director and chief operating officer, failed to report multiple faculty-student affairs to authorities beginning as early as 2006, though he and the principal were told of the randy romps.

The most recent alleged victim, whose name is being withheld by The Post, said he and Mahoney engaged in multiple trysts in her car, beginning last fall after she approached him in the gym and offered to coach him in basketball.

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