determine the orders of element of d33 how many there are reach
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There is an index 2 subgroup C which is cyclic of order 33, generated by some element σ, so C=⟨σ⟩. There is another element τ which has order 2. Clearly τ∉C, and also clearly the two cosets are C and τC. Indeed, we can take τ to correspond to reflection and σ to rotation, so we also have that τστ=σ−1.
@Ayesha
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