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I would appreciate if someone could prove this for me:

Let G be a dihedral group of order 2n and suppose H is a cyclic quotient group of G. Show that |H|is less than or equal 2.

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Hints:

1) What are the only cyclic dihedral groups ?

2) Show that a quotient group of a dihedral group is again a dihedral group.

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  • $\begingroup$ these are groups of order two? $\endgroup$ – cf12418 Jan 7 '15 at 18:22
  • $\begingroup$ @cf12418 I don't understand your question. $\endgroup$ – Timbuc Jan 7 '15 at 18:58

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