Dear Forum,

I wanted to thank everyone for there wonderful suggestions.  I am afraid I 
forgot to mention
that when I count the orbits I also wish to count the orbits of any particular 
size.  For example, 
I would want to count the number of regular orbits.  My apologies for not 
mentioning that before.  
Will these methods allow me to count orbits of any size.

Thank you and again I apologize for my lack of specificity. 

~Joshua Goodson




________________________________________
From: forum-boun...@gap-system.org [forum-boun...@gap-system.org] On Behalf Of 
Goodson, Joshua E [jg1...@txstate.edu]
Sent: Tuesday, February 21, 2012 7:30 PM
To: forum@mail.gap-system.org
Subject: [GAP Forum] Extra-special group acting on an elementary abelian        
group

Hello,

I am trying to count the orbits of an extra-special group of order 3^5 acting 
on an elementary abelian group of order 7^9.  I start with the automorphism 
group of the elementary abelian group and then try to find the isomorphic image 
of the extra-special group, but because of the size of the automorphism group 
the computer cannot finish.  I also try to find the group myself by first 
finding the Sylow subgroup of the automorphism group, but again the computer 
has a problem finishing.  I believe in each case it mentions running out of 
memory.  So I was wondering if there is another way I can perform the desired 
action GAP or would a better computer be able to find the subgroup of the 
automorphism group that I want?

Thank you
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