it has 45 90 135 180 225 270 315 and 360 degree turn semetry
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An octagon is a 2-dimensional figure, not a line of symmetry. However, it has several lines of symmetry.
An octagon has 8 lines of reflective symmetry.
If it's a regular 8 sided octagon then it rotational symmetry to the order of 8
16 * * * * * Not sure what a rectangular octagon is but no kind of octagon has more than 8 lines of symmetry.
I believe that an octagon has 16 lines of symmetry.