# 7 different group configurations
[[ 0,  1,  2,  3], [ 4,  5,  6,  7], [ 8,  9, 10, 11], [12, 13, 14, 15], [16, 17, 18, 19], [20, 21, 22, 23], [24, 25, 26, 27]]
[[ 4, 11,  2, 20], [24,  0, 13, 16], [12, 17,  7, 23], [14,  6,  8, 19], [25, 10, 15,  5], [27,  3, 18, 21], [22,  1,  9, 26]]
[[16,  5, 23, 11], [18, 10,  1, 12], [15, 24,  9, 17], [22, 27,  7, 14], [20,  8, 13,  3], [26, 21,  6,  2], [ 0, 19, 25,  4]]
[[12, 16, 25,  3], [21,  0, 15,  8], [ 2, 17, 10, 14], [ 6, 22, 24, 18], [19, 26, 20,  5], [ 4,  9, 27, 23], [ 7, 13, 11,  1]]
[[16, 22,  2, 15], [12,  9, 20,  6], [14,  5,  3, 24], [21, 19,  7, 10], [26, 13,  4, 18], [ 0, 17, 27, 11], [ 8,  1, 23, 25]]
[[ 5,  2,  9, 13], [ 1, 19, 27, 15], [21, 11, 24, 12], [16,  8, 26,  7], [23,  6, 10,  0], [22,  3,  4, 17], [25, 18, 14, 20]]
[[16, 20, 27, 10], [12,  5, 22,  8], [11, 26, 15,  3], [ 2, 23, 24, 19], [ 4, 21, 14,  1], [ 0,  9, 18,  7], [17, 13,  6, 25]]
