I want to find groups whose composition factor is isomorphic to the alternating group of order 7, which groups have this condiction?
best regards



Composition factor of a group which isomorphic to the alternating group of order 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 $r\geq 0$.


