rotation centerpieces  
v rbRB V 
a b c > C A b counterclockwise rotation of centerpieces back and front will be flipped corners are scrambled too. 
v brBR V 
a b c > B c A clockwise rotation of centerpieces right and front will be flipped corners are scrambled too. 
cube flip left and right centerpieces garbling corners 

cube flip front and left centerpieces garbling corners 

cube rotate left/front/right centerpieces clockwise garbling corners 

cube rotate left/front/right centerpieces counterclockwise garbling corners 

megaminx flip front and right centerpieces garbling corners 

megaminx rotate front/left/back centerpieces counterclockwise garbling corners 

rotation cornerpieces  
rbRB L brBR l 
c d e > e c d+ counterclockwise rotation of cornerpieces 
brBR L rbRB l 
c d e > e+ c+ d+ counterclockwise rotation of cornerpieces all pieces will be rotated clockwise by them selves 
L rbRB l brBR 
c d e > d e c+ clockwise rotation of cornerpieces 
L brBR l rbRB 
c d e > d e c clockwise rotation of cornerpieces all pieces will be rotated counterclockwise by them selves 