Construct the multiplication table for the group of permutations of {1,2,3}.
The group of permutations of the set \( \{1, 2, 3\} \) is represented by the symmetric group \( S_3 \), which consists of all the possible permutations of the three elements. There are 6 such permutations in total: 1. Identity permutation \( e = (1) \) 2. Permutation swapping 1 and ____ ________ _________ _________ ___ _____ _____ __________ ___.
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