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What is a PARI group?

Take for instance the example:

G = NumberField(x^5 + 15*x + 12, 't').galois_group(type="pari"); G


This gives an output:

Galois group PARI group [20, -1, 3, "F(5) = 5:4"] of degree 5 of the Number Field in t with defining polynomial x^5 + 15*x + 12


So I wonder what is the meaning of [20, -1, 3, "F(5) = 5:4"]. Is it some kind of permutation?

The relevant page of the documentation doesn't clarify it.

What is a PARI group?

Take for instance the example:

G = NumberField(x^5 + 15*x + 12, 't').galois_group(type="pari"); G


This gives an output:

Galois group PARI group [20, -1, 3, "F(5) = 5:4"] of degree 5 of the Number Field in t with defining polynomial x^5 + 15*x + 12


So I wonder what is the meaning of [20, -1, 3, "F(5) = 5:4"]. Is it some kind of permutation?

The relevant page of the documentation documentation doesn't clarify it.