12. (a) Is the subset { (e,0), (e,6), (e,12), (h,0), (h,6),(h,12) }, a subgroup of the direct product group ( V x Z18 )? (V isthe Klein four group.) Carefully explain or justify youranswer.
(b) Is the subgroup { (e,0), (e,6), (e,12), (h,0), (h,6), (h,12)}, a normal subgroup of the direct product group ( V x Z18 )?Carefully explain or justify your answer.
