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5. Let G=S4 and N={e,(1,2)(3,4),(1,3)(2,4),(1,4)(2,3)}. Show that N is a normal subgroup. List the left cosets of N in G. List the subgroups of the
5. Let G=S4 and N={e,(1,2)(3,4),(1,3)(2,4),(1,4)(2,3)}. Show that N is a normal subgroup. List the left cosets of N in G. List the subgroups of the factor group G/N and give the corresponding subgroups of G that contain N
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