Let G = {(1) (2) (3) (4), (12) (3) (4) , (1) (2) (34), (12) (34)} with operation multiplication. a. Construct a multiplication table for G. b. Find an automorphism f: G→ G satisfying f[(12) (3) (4)] = ( 1) (2) (34) and f[( 1 ) ( 2 ) ( 34 )] = ( 1 2 ) ( 3 ) ( 4 ).

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