7. Let A:= {(1), (1, 2) (3, 4), (1, 3) (2, 4), (1,4) (2,3)}, b:= (1,2,3,4) and G:= Sym(4). (a) Show that A is a normal subgroup of G. (b) Compute the order of bA as an element of the group G/A.

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