The same set of cubies (the same workbench) can be moved by 6 different 'sledgehammers'. (the workbench on the 3 given faces: red; yellow; blue, in the example below)
(Each one of the 2 sledgehammers, in the same row, cancell the other.)
(For all the 'sledgehammers' just the first rotation is optional; the remaining 3 are logically constrained.)