# 9 different group configurations
[[ 0,  1,  2], [ 3,  4,  5], [ 6,  7,  8], [ 9, 10, 11], [12, 13, 14], [15, 16, 17], [18, 19, 20]]
[[ 5, 19, 15], [10,  7, 18], [11,  1, 14], [13, 17,  4], [ 0,  9, 16], [12,  2,  6], [ 8, 20,  3]]
[[ 5,  0,  8], [12, 11,  7], [13,  9,  2], [14, 16,  3], [ 6,  4, 20], [15,  1, 18], [17, 10, 19]]
[[14,  6,  5], [12,  0, 20], [15,  8,  4], [17,  1,  9], [ 7, 19,  3], [ 2, 16, 10], [11, 18, 13]]
[[10,  4,  0], [ 7, 16,  5], [11,  3,  2], [13, 19,  6], [20,  9, 15], [ 1,  8, 12], [17, 14, 18]]
[[20, 16, 13], [ 3, 15,  0], [ 5,  2, 18], [10,  6,  1], [ 8, 17, 11], [19,  4, 12], [14,  9,  7]]
[[ 6, 17,  3], [ 9, 18,  4], [ 7,  0, 13], [12, 10, 15], [ 2,  8, 14], [19,  1, 16], [ 5, 20, 11]]
[[ 9,  8, 19], [15,  7,  2], [ 4, 16, 11], [18,  6,  0], [14, 20, 10], [12,  5, 17], [ 1, 13,  3]]
[[ 2, 20, 17], [18, 16,  8], [19,  0, 14], [ 4,  7,  1], [10,  5, 13], [ 6, 11, 15], [ 9,  3, 12]]
