Complex conjugation supplies the transposition for free cauchys theorem then supplies the p cycle together they force g equals s p

Let p≥3 be a prime number and $f(x)\in\mathbb{Q}[x]$ an irreducible polynomial of degree p. Suppose that $a_{1},\dots,a_{p}\in\mathbb{C}$ are the roots of f and that $a_{1}\notin\mathbb{R}, a_{2}\notin\mathbb{R}$, and $a_{i}\in\mathbb{R}$ for all 3≤i≤p. Let $K=\mathbb{Q}(a_{1},\dots,a_{p})$ be the subfield of $\mathbb{C}$ generated by the roots of f. Consider the Galois group G of K over $\mathbb{Q}$ as a subgroup of $S_{p}$, the group of permutations of {$a_{1},\dots,a_{p}$}. Which of the following statements are true?