Pornography ring at center of this week’s ‘Fire,’ ‘P.D.’ and ‘SVU’ crossover

Fans of “Chicago Fire” and its spinoff, “Chicago P.D.,” are used to seeing characters from one show drop by the other, usually for a short visit — or hookup.

This week an out-of-town guest, New York-based “Law & Order: SVU,” crashes the party. It’s the most elaborate three-way crossover yet for the trio of Dick Wolf-produced NBC dramas.

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The first domino drops Tuesday (9 p.m., WMAQ-Channel 5) when Firehouse 51 responds to a house blaze that leads to the discovery of a child pornography ring. Enter Sgt. Voight and Detective Lindsay, who head for the Big Apple with Halstead to track down a victim in Wednesday’s “SVU” (8 p.m., WMAQ-Channel 5).

The trail leads back to Chicago, where detectives from New York’s special victims unit help “P.D’s” intelligence team get to the bottom of the pedophilia racket — an emotionally charged case that crosses over into Lindsay’s professional and personal worlds (9 p.m., WMAQ-Channel 5).

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