A woman who drove an SUV on top of a Q train in Brooklyn early Wednesday was arrested after allegedly fleeing the scene and cooking up a phony carjacking story, the NYPD said.

Hannah Harris, 20, from Marine Park, walked away from the incident that led to train delays but no injuries, MTA and NYPD officials said.

Just before 5 a.m., a 2006 Nissan Suburban crashed through a fence north of the Beverly Road station in Brooklyn, with the car then landing atop a southbound Q train, the MTA said.

Harris reported to police shortly before 2 p.m. that her car was stolen, according to the NYPD. She is charged with filing a false report and leaving the scene of an accident.

A rescue train was brought in to remove about 40 train passengers, and crews removed the car around 7:15 a.m., the MTA said.

Service on the B and Q lines was disrupted for over two hours, and southbound Q trains continued to run express from Prospect Park to Kings Highway through rush hour.

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