Skip to main content
I complete my answer.
Source Link

If you want just an examplewant some examples, one of the answerexamples is the symmetric group $S_7$ of degree 7. Clearly, you can costruct infinite groups that one of the its composition factors is $A_7$. For example $S_7\times\Bbb Z_p^r$ where $p$ is a prime and $r\geq 0$.

If you want just an example, the answer is $S_7$.

If you just want some examples, one of the examples is the symmetric group $S_7$ of degree 7. Clearly, you can costruct infinite groups that one of the its composition factors is $A_7$. For example $S_7\times\Bbb Z_p^r$ where $p$ is a prime and $r\geq 0$.

Source Link

If you want just an example, the answer is $S_7$.