# Show that $D_n$ has a normal subgroup isomorphic to $C_n$ with quotient $C_2$

Show that $D_n$ has a normal subgroup isomorphic to $C_n$, with quotient $C_2$

I'm good with the first part but I just don't understand what the last but "with quotient $C_2$" means.

Thanks for any help (sorry for the really simple question)

-

Since $D_n$ has a normal subgroup $H$, with $H\cong C_n$, you are being asked to show that the quotient group $D_n/H$ is isomorphic to the cyclic group of order $2$. This is rather easy to do, since you know exactly what the order of $D_n/H$ is, and how many groups of that order there are.