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In 5 moves, rearrange the coins.
From 1st picture to 2nd picture.

enter image description here

Each move consists of rotate (right/left) 4 (in 2x2 grid) coins at one time.

enter image description here

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    $\begingroup$ Couldn't you just rotate the table? Why bother doing all that? $\endgroup$ – Masked Man Nov 16 '16 at 14:48
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    $\begingroup$ Why even bother rotating table? Just look at the coins sideways. :) $\endgroup$ – VHS Nov 16 '16 at 18:24
  • $\begingroup$ Does the orientation of the coins matter? $\endgroup$ – Erno Nov 16 '16 at 18:54
  • $\begingroup$ What is the third coin in the picture? $\endgroup$ – Random832 Nov 16 '16 at 19:34
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5 moves, as follows. Rotate bottom left clockwise, bottom right clockwise, top right anticlockwise, top left clockwise, bottom left clockwise. enter image description here

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    $\begingroup$ You should probably move the pictures inside the spoiler tag. $\endgroup$ – Greg Martin Nov 16 '16 at 19:37
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The top-left and bottom-right coins are unchanged from the initial to the end state. From this, and given the need to move the coins efficiently, let us assume that it is not necessary to move those coins at all. This leaves us with only four possible moves rather than eight: clockwise or counter-clockwise rotation of either the lower-left or upper-right groups. It also means that there is only one way to move coins between these groups, via the center position. Four coins must be moved thus: the lower two in the left-hand column must become the right two coins in the upper row, and the upper two in the right-hand column must become the left two coins in the bottom row. This can be accomplished by alternating clockwise rotations of the upper-right and lower-left groups, by those four coins "flow" into their new locations. Five such rotations, beginning with either group, yields the solution.

enter image description here

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