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Oct 13, 2017 at 21:53 comment added Will Sawin @johnmangual Yes, the symmetry group of the cube. en.wikipedia.org/wiki/List_of_finite_spherical_symmetry_groups
Oct 13, 2017 at 18:00 comment added john mangual This 48-element group is the symmetry group of the cube? The cube group would be $\big(\mathbb{Z}/2\mathbb{Z} \big)^3 \rtimes S_3$.
Oct 13, 2017 at 17:46 comment added john mangual These are not unlike Wallpaper groups?
Oct 13, 2017 at 17:20 history answered Will Sawin CC BY-SA 3.0