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