Is there a subgroup H of A4 such that A4 / H isomorphic to S3?
Is there a subgroup of such that the quotient group ? I know I could just go through the possibilities, but is there a very quick reason why the answer should be "no"?
Is there a subgroup of such that the quotient group ? I know I could just go through the possibilities, but is there a very quick reason why the answer should be "no"?
As quick as possible: has no normal subgroups of order 2.