D12 = {e,a,b,b^2 ... b^11, ab, ab^2 ... ab^11} D12 has 24 elements, with o(a) = 2 and o(b) = 11 and ba = ab^11 [general form being, (b^k)a = ab^-k] What are all the subgroups of D12, of these which are normal. Find all factor groups of D12.
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