Enigma City Of--city Hall 401 Main St Enigma, GA 31749 Phone : (229) 533-4185 Business Category Government Offices-City Village & Twp Government Offices State & Local Government Offices & Public Schools Police Department--enigma Enigma, GA 31749 Phone : (229) 533-4185 Business Category Government Offices-City Village & Twp Government Offices State & Local Government Offices & Public Schools