Consider the figure shown. The figure is a regular octagon with equilateral triangles on the middle section of each side of the octagon. Which of the following transformations map the shape onto itself? Select all that apply.

1. Reflection across the line connecting two opposite vertices of the regular octagon
2. Rotation about the center by 45°
3. Reflection across the line through the outer vertex of a pair of equilateral triangles, passing through the center
4. Rotation about the center by 60°
5. Rotation about the center by 90°