# 7 different group configurations
[[ 0,  1], [ 2,  3], [ 4,  5], [ 6,  7]]
[[ 6,  3], [ 4,  0], [ 1,  2], [ 5,  7]]
[[ 6,  1], [ 3,  5], [ 0,  2], [ 7,  4]]
[[ 7,  2], [ 3,  4], [ 1,  5], [ 6,  0]]
[[ 6,  5], [ 2,  4], [ 3,  0], [ 1,  7]]
[[ 7,  3], [ 5,  0], [ 4,  1], [ 2,  6]]
[[ 0,  7], [ 6,  4], [ 1,  3], [ 2,  5]]
