A hexagonal prism.
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A hexagon is a 2-dimensional shape. A "structure" implies a 3-dimensional shape but you have not specified whether it is a hexagonal pyramid, a hexagonal prism or some other shape that is [partly] based on a hexagon. Without that information it is not possible to give a more helpful answer.
Hexagonal Prism
cylinder
A hexagonal prism has 8 faces: 2 hexagonal bases and 6 rectangular lateral faces. The rectangular faces are perpendicular to the hexagonal bases. Therefore, there are 6 perpendicular faces in a hexagonal prism.
The net of a 2 dimensional shape can be folded into a 3 dimensional shape