Explore the fascinating mathematics behind card shuffling in this 57-minute Kirk Lecture delivered by Professor Cheryl Praeger from the University of Western Australia. Delve into the intricacies of perfect shuffles and their impact on card order, building upon the foundational work of Diaconis, Graham, and Kantor from 1983. Discover a generalized approach to shuffling involving a "many handed dealer" and learn about the Medvedoff-Morrison conjecture regarding achievable permutations. Examine the confirmation of this conjecture for specific integer families and gain insights into the broader study of shuffle groups. This lecture, part of the "Groups, representations and applications: new perspectives" programme at the Isaac Newton Institute for Mathematical Sciences, offers a captivating blend of card tricks, combinatorics, and group theory.