Deputies say the suspects used a credit card skimmer to steal the victim's debit card information.
On Nov. 10, they used the data to run up several thousand dollars in charges and money orders at two Katy-area grocery stores.
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Precinct 5 released photos of the suspects, who were caught on surveillance cameras using the fraudulent debit cards.
Deputies describe the suspects as four light-skinned Hispanic males in their mid-20s - mid-30s.
Several of them are wearing designer athletic clothing.
If you recognize these men or have information about the crime, you're asked to call Investigator K. Fesperman at 281-463-6666.
You can also submit a tip through the precinct's online page.
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