# Constants related to group [closed]

For a finite group $G$, there are structure constants related to the group such as number of Sylow-p subgroups, orders of conjugacy classes. What are other constants related to the group?

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I suggest reading a book on group theory and one on character theory. Your question is about as broad as "what other words are there in the English language apart from 'car' and 'yesterday'". –  Alex B. Apr 6 '11 at 3:57
Why do you ask this? @Phillip –  awllower Apr 6 '11 at 3:58
Waaaaaay too many to list (orders of elements; multiset of orders of elements; degrees of irreducible representations; orders of verbal/marginal subgroups). This is too vague to be a real question; voting to close. –  Arturo Magidin Apr 6 '11 at 4:04
@allower: I am doing various computations for small groups; so I was thinking that if some data related to structure constants is available, then the problems will be easy to solve. –  user8186 Apr 6 '11 at 4:05
Are you trying to distinguish between groups through a finite set of numerical invariants? You're not going to be able to. For example, there is no known finite set of numerical invariants that can distinguish finite $p$-groups up to isomorphism; and it is widely believed no such set can exist. –  Arturo Magidin Apr 6 '11 at 4:10