# 7 different group configurations
[[ 0,  1,  2], [ 3,  4,  5], [ 6,  7,  8], [ 9, 10, 11], [12, 13, 14]]
[[ 7, 12,  3], [ 6,  5, 10], [ 1,  4, 14], [ 0, 13,  9], [ 8, 11,  2]]
[[ 9, 12,  4], [ 7,  0, 10], [ 8, 14,  3], [ 6, 13,  2], [ 1, 11,  5]]
[[12,  0, 11], [ 8,  5, 13], [ 6,  9, 14], [ 4,  2,  7], [ 3,  1, 10]]
[[12,  8, 10], [11,  6,  4], [ 0, 14,  5], [ 2,  9,  3], [13,  1,  7]]
[[ 4, 10, 13], [ 5,  2, 12], [ 3,  0,  6], [ 9,  8,  1], [14, 11,  7]]
[[ 0,  8,  4], [ 7,  5,  9], [12,  1,  6], [13, 11,  3], [14, 10,  2]]
