The group D4 acts as a group of permutations of the square
Chapter 7, Problem 60E(choose chapter or problem)
Problem 60E
The group D4 acts as a group of permutations of the square regions shown below. (The axes of symmetry are drawn for reference purposes.) For each square region, locate the points in the orbit of the indicated point under D4. In each case, determine the stabilizer of the indicated point.
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