Basically I know how to do the first part, it's just the multiplication table giving me problems. I know the headings for the table should be H, (1,2)H, (1,3)H, (2,3)H, (1,2,3)H, (1,3,2)H but I don't know anymore.
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Multiplication in factor groups is easy. It is defined as . For example Let . Since G is abelian, H is normal in G. Consider two cosets of , . Now in your example, we take . since
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