At a men’s clothing store called Zilli on East 57th Street, the holiday shopper with exotic tastes and a spare $50,000 will find Astrakhan fur coats and jackets made of python — with interchangeable collars of beaver, ermine or mink. But, while you will find deerskin vests and a black chinchilla bedspread at Zilli this week, missing from the racks is a certain jacket of brown Australian crocodile.

On Dec. 3, the police said, a pair of thieves somehow stole the jacket during working hours without drawing the attention of the store’s staff. The jacket is valued at $40,000.

No one has been arrested, but on Tuesday the police released the photos of two suspects, a man and a woman, both in their mid-20s. From the photos it does not appear that either is wearing the jacket.

The theft occurred at about 5:30 p.m., the police said. The woman took the coat from a display rack and handed it to her partner, who then took it with him into a fitting room and placed it into a duffle bag, the police said. They then walked out.