[GAP Forum] (no subject)
John McDermott
jjm at mcs.st-and.ac.uk
Thu Nov 23 10:01:30 GMT 2006
Forwarded message. Replies to Jim Heckman and/or the Forum list, please.
From: "Jim Heckman" <jimrheckman at yahoo.com>
Date: 23 November 2006 04:38:52 GMT
To: <forum at gap-system.org>
Subject: Re: [GAP Forum] maximal subgroups of PSp(8,2)
On 22-Nov-2006, "Tom Meletn" <tmeletn at gmail.com>
wrote in message
<9ee207f00611221222w6230883bw591c8b5c2b63f1f6 at mail.gmail.com>:
> Dear GAP forum,
>
> Does anybody know about the structure of maximal subgroups of PSp
> (8,2)?
> As I checked nothing is available on the ATLAS web page about it. I
> will
> be thankful for any help.
>
> Tom
>
In /The ATLAS of Finite Groups/ by Conway, Curtis, Norton, Parker
and Wilson, 1985 Clarendon Press, they're listed as:
O-(8,2):2 [120]
O+(8,2):2 [136]
2^7:S(6,2) [255]
2^{10}:A_8 [2295]
2^{3+8}:(S_3 x S_6) [5355]
S_3 x S(6,2) [5440]
2^{6+6}:(S_3 x L(3,2)) [11475]
S_{10} [13056]
S(4,4):2 [24192]
(S_6 x S_6):2 [45696]
L(2,17) [19353600]
where the figures in brackets are the indices in S(8,2) of the
given maximal group.
--
Jim Heckman
--
John McDermott
Scientific Officer
School of Computer Science
University of St Andrews
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