Question: Part II Permutations, Cosets, and Direct Products notation that we shall explain later. Naively, we are using p, for rotations, , for mirror images in

Part II Permutations, Cosets, and Direct Products notation that we shall explain later. Naively, we are using p, for rotations, , for mirror images in perpendicular bisectors of sides, and 3, for diagonal flips. There are eight permutations involved here. Let P = 2 3 8.11 Figure 3 PI = 2 3 4 -(4321) P2 = (3 4 12) 81 =(3214) PJ = 2 3 82 = (14 3 2) 8.12 Table 8.13 Figure Subgroup diagram for D4

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