A group G has exactly 8 elements or order 3

nowimpsbball

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 notes...so there are 2^3, 2*2^2, and 2*2*2, so three different ways to get factors, am I doing this right?

Thanks

nowimpsbball	A group G has exactly 8 elements or order 3 Tweet 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 notes...so there are 2^3, 22^2, and 22*2, so three different ways to get factors, am I doing this right? Thanks