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Jan30-08, 02:54 PM
P: 15
How many subgroups of order 3 does G have?

So we have 8 elements, its prime decomposition is 8=2^3. The number of different ways to get factors is how many subgroups, at least that is what I interpret from my there are 2^3, 2*2^2, and 2*2*2, so three different ways to get factors, am I doing this right?

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