Dihedral group of order 8
Dih4 as 2D point group, D4, [4], (*4•), order 4, with a 4-fold rotation and a mirror generator.
Dih4 in 3D dihedral group D4, [4,2]+, (422), order 4, with a vertical 4-fold rotation generator order 4, and 2-fold horizontal generator
In mathematics, D4 (sometimes alternatively denoted by D8) is the dihedral group of degree 4 and order 8. It is the symmetry group of a square.