Consider the subgroup of S(4) and the group of symmetries of the rectangle discussed after Theorem...

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Consider the subgroup of S(4) and the group of symmetries of therectangle discussed after Theorem 5.3.1. There we defined oneisomorphism between these groups but this is not the only one. Findall the rest.

The isomorphism defined in 5.3.1 is the one between S(4) andthe symmetries of a rectangle.

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