Composition Series/Examples/Cyclic Group C8

Example of Composition Series
There is $1$ composition series of the cyclic group $C_8$, up to isomorphism:
 * $\set e \lhd C_2 \lhd C_4 \lhd C_8$

Proof
From Cyclic Group is Abelian and Subgroup of Abelian Group is Normal, all subgroups of $C_n$ are normal in $C_n$.

This leads directly to the composition series:


 * $\set e \lhd C_2 \lhd C_4 \lhd C_8$