GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W testexternal.g automgrp package Dmytro Savchuk
#W Yevgen Muntyan
## automgrp v 1.3
##
#Y Copyright (C) 2003 - 2016 Dmytro Savchuk, Yevgen Muntyan
##
#UnitTest("list^perm", function()
# local l, p;
# for l in [[1, 2, 3, 4], [1, 1, 1, 1], [-1, 3, 5, -1], [0, 1, 0, 1]] do
# for p in SymmetricGroup(4) do
# AssertEqual(Permuted(l, p), l^p);
# od;
# od;
#end);