The Group D_{3}_{} 

Up to Msymmetry there are 208 cubes which exactly have the symmetries of this subgroup. All cubes but 4 up to Msymmetry are generated in 19 moves or less. 4 cubes needs 20 moves, they also have antisymmetry. They are depicted below, together with a few nicer examples of this class. The table gives the number of cubes up to Msymmetry which exactly have D_{3}symmetry, the average maneuver length is 17.81:


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© 2017 Herbert Kociemba 