# 8 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], [28, 29, 30, 31]]
[[ 0, 11, 15, 24], [ 8, 17, 31, 20], [14,  1, 30, 19], [27,  2, 29, 13], [ 4,  9, 12, 22], [23, 10, 25,  7], [ 3, 18,  5, 28], [26, 21, 16,  6]]
[[12,  0, 16, 10], [17, 26, 14, 29], [13, 24, 23, 30], [11, 22, 19,  5], [ 2,  9, 21, 18], [ 3, 20, 27,  4], [28,  6,  8, 25], [15, 31,  7,  1]]
[[10, 21,  4, 24], [14, 27,  0,  9], [ 2,  7, 20, 16], [12, 26,  1,  8], [19, 28, 15, 23], [ 3, 17, 22, 30], [31, 13, 25,  5], [29, 11,  6, 18]]
[[18, 14, 25, 20], [11, 28, 26, 13], [ 8, 21, 15,  3], [30, 16,  5, 27], [ 0, 17,  4, 23], [22,  1, 10,  6], [19,  7, 29,  9], [31, 12, 24,  2]]
[[28, 20,  1,  9], [26,  5, 15,  2], [17, 27, 11, 12], [16,  8,  4, 29], [10,  3, 13, 19], [23, 31, 14,  6], [21, 25,  0, 30], [ 7, 22, 18, 24]]
[[ 6, 17,  9, 24], [27, 21, 28,  7], [ 1, 13, 18,  4], [31, 26,  0, 19], [30, 15, 10, 20], [16, 25,  3, 11], [12,  5, 23, 29], [ 8,  2, 22, 14]]
[[19, 12, 20,  6], [ 5, 17, 21,  1], [24, 28, 16, 14], [11,  4, 30,  2], [ 7,  8,  0, 13], [29, 25, 22, 15], [ 3,  9, 26, 23], [31, 27, 18, 10]]
