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

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#2-generator exponent 5 groups 

1         #set up group presentation 
c5c5
5
1
1
{a, b}
{}
0
  
7        #compute its 5-covering group 

9        #enter p-group generation 

1        #supply automorphisms 
2        #number of automorphisms 

2 0
0 1

4 1
4 0

0       #number of soluble automorphisms

5       #iteration option 
5       #class bound 
1       #all descendants?
0       #order bound?
0       #PAG-generating sequence 

0       #default algorithm?
0       #rank of initial segment 
0       #process terminal descendants completely
5       #exponent law to enforce 
0       #metabelian law to enforce 
1       #default output 

0       #exit 
0       #exit