I'm looking for a list of the elements of the group of rotational symmetries of the cube.
I figured out that there are 24 rotational symmetries. Rotation fixing: faces = 9, diagonals = 8, edges = 6, identity = 1; total = 24.
Is this group abelian? I'm guessing that commutativity would be easily proven/disproven if I knew the list of the elements.
Any help would be great!