|
#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Alexander Hulpke, Colva Roney-Dougal, Derek Holt.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## This file contains the operations for the construction of maximal subgroups
## of classical groups in small dimensions.
##
## So far it is very rudimentary
# Maximal subgroups of classical groups
# this should become, in the fulness of time, proper code, based on what has
# been written by Colva Roney-Dougal and Derek Holt. At the moment it is a
# simple lookup of data, precomputed with this code, for small degrees/prime
# powers for certain classes of groups
CLASMAXDATA:=
[["L",3,2,["/+",",+",".;"],["-S","-D","/+"],["+h","-E"]],["L",3,3,[",//","+HH","KL","+66"],[",//","+-H","+,L","+HH"],[":A","+3?"],[",-=",",//"]],
["L",3,5,["+T7P","+TG0","-<B0","iWv"],["+T7P","g<P","gMp","sE:"],["6<M","86l","+TG0"],["Iao","iLR"],["+;Wu",",A:@"]],
["L",3,7,["Kh\\3","Kj43","oFtr","5QR^"],["Kh\\3","5?p3","5A.r","6ojD"],["+Ze9","+jLl","Kj43"],["g5m1","5@lU"],["5?R1","+Ze9","w2?;","xjbt","@T>0"],
[":0NU","bB43","@T>0"],[":bDx","bB43","@T>0"],["7eyc","bB43","@T>0"]],["L",3,11,["4OGM3","4ORp3","^mr?6","/@6_V"],["4OGM3","/<d63","/<v`6","/bfd`"],
["P/1i","S:S,","4ORp3"],["Cmm?2","/>m<f"],["0^l1-","IJ-e3"],[":pV-R","/IMOH"]],["L",3,13,["QlRC4","Qlm14","-*[udX",">,bX6"],["QlRC4","=sDn4","=sqmX","?MlmR"],
["+TVl-","+]>\\L","Qlm14"],["+FfKVA",">+[1D"],["=sIC7","+TVl-","+A@mCp","+Eoj.3","eem73"],["BRm5e","+eJ[u4","eem73"],["@>ySD","+eJ[u4","eem73"],
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[",RFb,-","6gmC^4"]],["L",3,19,["4G@Ak7","4GBY07","+7XI@U>","/9i7*V"],["4G@Ak7","/8]TN7","/8a[H>","/NO3Uh"],["?knXy","@rqQ,","4GBY07"],["n>q7*X","/97lHs"],
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