Is it possible for a wallpaper pattern to have translation, rotation, and glide reflection isometries, but no reflection isometry?

Question

Quizplus · Accepted Answer

Yes, it is possible for a wallpaper pattern to have translation, rotation, and glide reflection isometries, but no reflection isometry. An example of such a pattern is the p6m pattern, which has six-fold rotational symmetry and two different types of glide reflections. However, it does not have any reflection symmetries.

Is It Possible for a Wallpaper Pattern to Have Translation