Actress Katie Holmes and her 6-year-old daughter were lying low Sunday in their new Manhattan apartment as a creepy crew reportedly from the Church of Scientology watched their every move.

Holmes and her child, Suri, have stayed out of sight since she blindsided hubby Tom Cruise by filing for divorce in New York.

But five burly and menacing men parked outside of Holmes’ Seventh Ave. building in Chelsea made no attempts to hide Sunday.

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The mystery men sat inside a white Cadillac Escalade bearing Tennessee license plates with the engine idling and the AC running. All casually dressed and 40 to 50 years old, they refused to identify themselves or even roll down their windows when a reporter from the Daily News knocked.

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The men only got out of their SUV to photograph reporters interviewing neighbors in front of the building between 24th and 25th Sts.

Citing unnamed sources, TMZ.com reported Sunday that the men in the Escalade were sent by the Church of Scientology to shadow Holmes and her daughter.

Scientology officials denied the TMZ report Sunday.

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“There is no truth whatsoever to the TMZ.com report (or any other report) that the Church of Scientology has sent anyone to follow or surveil Katie Holmes,” Gary Soter, a lawyer for the Church of Scientology International, told The News in an email.

RICHARD HARBUS FOR NEW YORK DAILY NEWS

Men who got out of white Escalade.

Holmes fears Scientologist big wigs now see her as a threat to their organization because she is dumping their celebrity Top Gun.

The Daily News reported Sunday that Holmes had concocted an elaborate escape-from-Cruise plan that included renting her Chelsea pad weeks before filing for divorce on Thursday and asking for sole custody of Suri.

The papers were filed a week before Cruise’s 50th birthday.