Composition Series/Examples/Symmetric Group S4

Example of Composition Series
There is $1$ composition series of the symmetric group on $4$ letters $S_4$, up to isomorphism:
 * $\set e \lhd K_4 \lhd A_4 \lhd S_4$

where:
 * $A_4$ is the alternating group on $4$ letters
 * $K_4$ is the Klein four-group.

Hence $S_4$ is solvable.