I have a sextic polynomial in Maple, and the solutions are displayed using RootOf. I want to convert these to explicit radicals if possible.

Here is the polynomial

49 Z^6 - 588 Z^5 + 2638 Z^4 - 5536 Z^3 + 5572 Z^2 - 2480 Z + 368

I tried several commands to extract the roots in radicals and did not work. I did solve it though using fsolve and obtained 6 positive numerical roots.

I used the galois command to determine its solvability by radicals and got this output:

"6T13", {"F_36(6):2", "S(3) wr 2", "[S(3)^2]2"}, "-", 72, {"(2 4 6)", "(2 4)", "(3 6)(1 4)(2 5)"}

What does this five elements mean?