Originally Posted by

**bex23** In the attachment I have given the picture that goes with the question.

The positions of the square faces are 1 and 6 and the positions of the rectangular faces are 2,3,4 and 5 for top, right, bottom and left respectivley. Let G denote the group of rotational symmetries of P

a) Using the given numbering, write down all the elements of G as permutations of the face positions 1,2,3,,5 and 6.

So far I have

(1)(2)(3)(4)(5)(6) =e

(1)(2345)(6) (rotation through horizontal axis by pi/2)

(1)(24)(35)(6) (rotation throught horiz. axis by pi)

(1)(2543)(6) (rotation through horiz. axis by 3pi/2)

(16)(2)(35)(4) (rotation through vertical axis by pi)

My question here is have I got them all. ...