"Source: Text/Group/GrpCoh.text";
"Line: 359";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpCoh.text, line: 359
// Example: H75E7 ()
print "Example: H75E7";
ei := GetEchoInput();
SetEchoInput(true);
G := Group<x,y | x^2,y^3,(x*y)^7 >;
L := LowIndexSubgroups(G, <7,7>);
Q := CosetImage(G,L[1]);
PM := PermutationModule(Q, Integers());
cons := Constituents(PM);
mats := ActionGenerators(cons[2]);
M := GModule(G,mats);
CM := CohomologyModule(G,M);
CohomologyGroup(CM,0);
CohomologyGroup(CM,1);             
SetEchoInput(ei);
