# Find Galois group of the splitting field of a polynomial

I want to find the splitting field of the polynomial $$p(x)=x^5+4x^3+3x^2+7x+1 \in \mathbb Q[x].$$ I have used the following source code:

K.<alpha> = NumberField(x^5+4*x^3+3*x^2+7*x+1)

G = K.galois_group()

G

The output is the following:
`Galois group 5T5 (S5) with order 120 of x^5 + 4*x^3 + 3*x^2 + 7*x + 1`

What does mean by `5T5 (S5)`

?