Sitting in the SIPB office is a super-group cube. At least I think it's a
super-group cube. Four sets of facies show the symbols on playing cards,
and the other two sets show five pointed stars of different types. So the
center facie carrying the diamond can have one of two orientations.
Is it possible to rotate one center facie 180 degrees?
(The cube is currently in the solved state, thanks to Jim Saxe.)