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If G is cyclic and order 16, what orders can its subgroups be?
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each subgroup is generated by g, g^2. g^3 and so on right?
so g is order 16, g^2 is order 8, g^4 is order 4, g^8 is order 2... so the answer is orders: 0,1,2,4,8,16?
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