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 is
the Klein four group.) Carefully explain or justify your
answer.
(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.