Corrections to the ATLAS of Finite Groups

The main list of corrections is published as an appendix to the `Atlas of Brauer Characters', by C. Jansen, K. Lux, R. Parker and R. Wilson, Oxford, 1995.

Further errors are listed here:

L2(25). Page 16.
Last maximal subgroup in G.23 should read (Q8 × 3):2.
Sz(8). Page 28.
In the `Suzuki' construction, the oval is incorrectly defined: add the extra condition that when t=0, we have x=y=0.
G2(3). Page 60.
14­dimensional construction, definition of D2: ei should read 3ei.
Sz(32). Page 77.
In the `Suzuki' construction, the oval is incorrectly defined: add the extra condition that when t=0, we have x=y=0.
J3. Page 82.
The definition of CZ only applies when z is nonzero. The image of e(0) is e(0).
3D4(2). Page 89.
Replace top row (but not first column) occurrences of s/4 by its conjugate in 768 matrix orbit.
G2(4). Page 97.
Delete `non­edge' from Graph column of maximal subgroups.
O7(3). Page 109.
In 14th maximal subgroup, replace 2E by 2F.
S6(3). Page 113.
In 7th maximal subgroup, extensions are split.
R(27). Page 123.
First maximal subgroup has shape 33+3+3:26 in G and 33+3+3:26:3 in G.3.
Suz. Page 131.
In 12th maximal subgroup, the extension is non-split: (A6 × A5) . 2.
O8+(3). Page 140.
In 8th and 9th maximal subgroups, replace L4(3) × 2 by L4(3):21.
Fi22. Page 160.
In the additional 5 columns, on p. 310 of the ABC, the centraliser orders of 12L, 12M, 12N should be 3456, 1296 and 576 respectively.
Fi22. Page 163.
The structure of the 2B­normaliser is (2 × 21+8):U4(2):2, and correspondingly H.2 in G.2.
2E6(2). Page 191.
16th maximal subgroup has shape 31+6:23+6:32:2 (so there is no quotient S3 x 3).
Page 241.
Outer automorphism group of G2(9) is 4, not 2.

Simon Norton's list of improvements to the ATLAS of Finite Groups is also available here in both dvi and PostScript formats.


Main ATLAS page Go to main ATLAS (version 2.0) page.
ftp access Anonymous ftp access is also available on for.mat.bham.ac.uk (user atlasftp, pwd atlasftp).

Version 2.0 created on 5th May 1999.
Last updated 11.07.02 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.