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

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#all groups with lower exponent-3 series of shape 2-2-3-1

1         #set up group presentation 
c3c3
3
1
1
{a, b}
{}
0
  
7        #compute its 3-covering group 

9        #enter p-group generation 

1        #supply automorphisms 
5        #number of automorphisms 

2 0
0 2

0 2
1 0

1 2
2 2 

1 0
2 1

2 0
0 1

0       #number of soluble automorphisms

5       #iteration option 
4       #class bound 
0       #all descendants?

0       #constant step size 
2 3 1 

1       #PAG-generating sequence 

1       #default algorithm?
1       #default output 

0       #exit 
0       #exit