a4_alternating_group_on_4_letters.json

{"name": "A4",
 "description": "Alternating group on 4 letters (AKA Tetrahedral group)",
 "elements": ["()", "(1 3 2)", "(1 2 3)", "(0 1)(2 3)", "(0 1 2)", "(0 1 3)", "(0 3 1)",
                   "(0 3 2)", "(0 3)(1 2)", "(0 2 3)", "(0 2 1)", "(0 2)(1 3)"],
 "table": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11],
           [1, 2, 0, 6, 7, 8, 10, 11, 9, 5, 3, 4],
           [2, 0, 1, 10, 11, 9, 3, 4, 5, 8, 6, 7],
           [3, 4, 5, 0, 1, 2, 9, 10, 11, 6, 7, 8],
           [4, 5, 3, 9, 10, 11, 7, 8, 6, 2, 0, 1],
           [5, 3, 4, 7, 8, 6, 0, 1, 2, 11, 9, 10],
           [6, 7, 8, 1, 2, 0, 5, 3, 4, 10, 11, 9],
           [7, 8, 6, 5, 3, 4, 11, 9, 10, 0, 1, 2],
           [8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3],
           [9, 10, 11, 4, 5, 3, 2, 0, 1, 7, 8, 6],
           [10, 11, 9, 2, 0, 1, 8, 6, 7, 3, 4, 5],
           [11, 9, 10, 8, 6, 7, 4, 5, 3, 1, 2, 0]]
}