GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Select option: 1
Input group identifier: c3c3
Input prime: 3
Input maximum class: 1
Input print level (0-3): 1
Input generating set (in { }):
Input defining set of relations (in { }):
Input exponent law (0 if none): 0
Lower exponent-3 central series for c3c3
Group: c3c3 to lower exponent-3 central class 1 has order 3^2
Select option: 7
Group: c3c3 to lower exponent-3 central class 2 has order 3^5
Select option: 9
Menu for p-Group Generation
-----------------------------
1. Read automorphism information for starting group
2. Extend and display automorphisms
3. Specify input file and group number
4. List group presentation
5. Construct descendants
6. Advanced p-group generation menu
7. Exit to basic menu
Select option: 1
Input the number of automorphisms: 5
Now enter the data for automorphism 1
Input 2 exponents for image of pcp generator 1: 2 0
Input 2 exponents for image of pcp generator 2: 0 2
Now enter the data for automorphism 2
Input 2 exponents for image of pcp generator 1: 0 2
Input 2 exponents for image of pcp generator 2: 1 0
Now enter the data for automorphism 3
Input 2 exponents for image of pcp generator 1: 1 2
Input 2 exponents for image of pcp generator 2: 2 2
Now enter the data for automorphism 4
Input 2 exponents for image of pcp generator 1: 1 0
Input 2 exponents for image of pcp generator 2: 2 1
Now enter the data for automorphism 5
Input 2 exponents for image of pcp generator 1: 2 0
Input 2 exponents for image of pcp generator 2: 0 1
Input number of soluble generators for automorphism group: 0
Select option: 5
Input class bound on descendants: 4
Construct all descendants? 0
Constant step size? 0
Input 3 step sizes: 2 3 1
PAG-generating sequence for automorphism group? 1
Do you want default algorithm? 1
Do you want default output? 1
**************************************************
Starting group: c3c3
Order: 3^2
Nuclear rank: 3
3-multiplicator rank: 3
# of immediate descendants of order 3^4 is 3
# of capable immediate descendants is 3
**************************************************
3 capable groups saved on file c3c3_class2
**************************************************
Starting group: c3c3 #1;2
Order: 3^4
Nuclear rank: 2
3-multiplicator rank: 3
Group c3c3 #1;2 is an invalid starting group
**************************************************
Starting group: c3c3 #2;2
Order: 3^4
Nuclear rank: 3
3-multiplicator rank: 4
# of immediate descendants of order 3^7 is 4
# of capable immediate descendants is 4
**************************************************
Starting group: c3c3 #3;2
Order: 3^4
Nuclear rank: 2
3-multiplicator rank: 3
Group c3c3 #3;2 is an invalid starting group
**************************************************
4 capable groups saved on file c3c3_class3
**************************************************
Starting group: c3c3 #2;2 #1;3
Order: 3^7
Nuclear rank: 4
3-multiplicator rank: 5
# of immediate descendants of order 3^8 is 16
# of capable immediate descendants is 11
**************************************************
Starting group: c3c3 #2;2 #2;3
Order: 3^7
Nuclear rank: 3
3-multiplicator rank: 4
# of immediate descendants of order 3^8 is 13
# of capable immediate descendants is 9
**************************************************
Starting group: c3c3 #2;2 #3;3
Order: 3^7
Nuclear rank: 3
3-multiplicator rank: 4
# of immediate descendants of order 3^8 is 13
# of capable immediate descendants is 9
**************************************************
Starting group: c3c3 #2;2 #4;3
Order: 3^7
Nuclear rank: 3
3-multiplicator rank: 4
# of immediate descendants of order 3^8 is 7
# of capable immediate descendants is 5
**************************************************
34 capable groups saved on file c3c3_class4
Select option: 0
Exiting from p-group generation
Select option: 0
Exiting from ANU p-Quotient Program