Subject: What are "concise" subgroups?

From: John Sichel <[email-masked]>
Date: Sun, 6 Nov 1994 13:22:25 -0300 (ADT)

Can someone tell me the meaning of the word "concise" in symmetry group theory.
This term occurs in the output of the Gaussian programs, as in the following 
examples:

FULL POINT GROUP                 C2V    NOP  4
LARGEST ABELIAN SUBGROUP         C2V    NOP  4
LARGEST CONCISE ABELIAN SUBGROUP C2     NOP  2

FULL POINT GROUP                 D4D    NOP 16
LARGEST ABELIAN SUBGROUP         C2V    NOP  4
LARGEST CONCISE ABELIAN SUBGROUP C2V    NOP  4

However I have never been able to find a definition of "concise" in a group 
theory or quantum chemistry book. I also tried searching the CCL archives with 
no success.

Other related problems:
1.  The two examples above seem to be inconsistent. The first output implies 
    that C2v is not "concise", but the second implies that it is.  
2.  Should not the largest abelian subgroup of D4d be the cyclic group S8?

Thanks for any help with these questions:
John Sichel
Universite de Moncton
Moncton, NB, Canada