Hey there guys.
Let G be a group of order 12. Show by a Sylow counting argument that if G does not have a normal subgroup of order 3 then it must have a normal subgroup of order 4.
Deduce that G has one of the following forms:
Hence, classify all groups of order 12 up to isomorphism.
Any suggestions on how to go about doing this one please?
I will attempt myself once I have a good idea of what to do . Thnx