Yes. In 3 dimensions, a rectangle has 3 C2 axes perpendicular to each other and an inversion center at the center of the rectangle. There are also reflection planes along each of the C2 axes; this makes the point group of the rectangle D2h.
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a rectangle has 2 axes of symmetry
A rectangle has 2 axes of symmetry.
It has rotational symmetry to the order of 2
only when the rectangle is a square
They both have the same amount of lines of symmetry. * * * * * Not true. A square has four lines of symmetry, a rectangle only two.