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