Let G be a finite group of order 30, and let H be a subgroup of G . which of the following statement is/are correct:
1
If H is a normal subgroup of G , then G/H is isomorphic to \(C_5 \) , the cyclic group of order 5.
2
If H is a Sylow 5-subgroup of G , then H is unique and normal in G .
3
G has a non-trivial center Z(G) of order 3.
4
If G is simple, then it must be cyclic.