Rotating numbers in a 2x3 grid

Question

We have a 2x3 grid numbers like so

6 5 4
3 2 1

Four numbers in any 2x2 sub-grid can be rotated clockwise or anti-clockwise. For example

a b
c d

rotated clockwise becomes

c a
d b

Can you obtain the following grid after 5 such rotations?

1 2 3
4 5 6

Answer 1

First switch the parity of the $1$ and $4$, and the rest falls into place.

 654
 321
625
 314
365
 124
326
 145
136
 425
123
 456