Composition Series/Examples/Symmetric Group S3

Example of Composition Series
There is $1$ composition series of the symmetric group on $3$ letters $S_3$, up to isomorphism:
 * $\set e \lhd A_3 \lhd S_3$

where $A_3$ is the alternating group on $3$ letters.

Hence $S_3$ is (trivially) solvable.