Which one of the following option is true?
Statement A : Let G be a finite group of order \( p^n \) , where p is a prime number and n is a positive integer then G has a unique normal subgroup of order p.
Statement B : The number of elements in \(S_4 \) that are of order 3 are 8.
Statement C : H and K be normal subgroups of a group G such that G = HK and \(H \cap K = \{e\} \) (the identity element). If |H| = m and |K| = n , then the order of G is \(\frac{m}{n} \).
1
Only 1 Statement is True.
2
Only 2 Statement are True.
3
All Statement are correct.
4
None of these.