Rubik's Cube Group

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The Rubik's Cube group is a group of order 43,252,003,274,489,856,000, and represents the states of the 3x3x3 Rubik's Cube.

As every group can be represented as a subgroup of a permutation group, the Rubik's Cube group can be represented as a subgroup of the permutations of its stickers.

The diameter of the Rubik's Cube group is known as God's Number for 3x3x3.

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