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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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# This is the (8,7|2,3) / <aa,Ab> enumeration discussed in George's & my
# paper and the ITC manual.  This is the T=662 enumeration which we found,
# and we want to generate ITC input to see if we can prune it.

Group Name: E8723;
Group Generators: ab;
Group Relators: (A)^8, (aB)^3, (ba)^2, (b)^7;
Subgroup Name: Index 448;
Subgroup Generators: (a)^2, Ab;

AsIs:1;
Hard;  PMod:2;  Ct:15;  Rt:3;

Mess:1;

#End;
#Defn;
Defn:1;