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Conor McGregor mingled with a lot of huge celebs at London's Fashion Awards on Monday night -- including Rita Ora, who shared photos of her and the UFC mega-star with the caption: "Date night."

The Irish fighter and British pop singer were hangin' for most of the ceremony ... seated together at a table with F1 superstar Lewis Hamilton and supermodels Irina Shayk and Jourdan Dunn.

Before you freak out -- Conor just had a kid with longtime girlfriend Dee Devlin ... and Rita's rumored to be dating musician Andrew Watt.