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SSL clasmax.grp

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#############################################################################
##
##  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"],
["I0YZ;","+eJ[u4","eem73"]],["L",3,17,["0HseF4","0HtVZ4","L9P<_,",",4ql]^"],["0HseF4",",4C+>4",",4E5c,",",>D4WN"],["4+N<M","4Wk.l","0HtVZ4"],["<_Ianj",",4L3S0"],
[",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"],
["/8^j?=","?knXy","+22n]5Q","4uHhJB","N@Pt[?"],["/8^j?=",",d<Mh5","+22n]5Q","4^TcsV","N@Pt[?"],["/8^j?=","+G3<YP","+22n]5Q","7=S]2j","N@Pt[?"],
["0*2BfM","]lHO[7","N@Pt[?"],["/Yp^0E","]lHO[7","N@Pt[?"],["23rys-","]lHO[7","N@Pt[?"],["+7ATwu:","1bdDgR","N@Pt[?"],["+7ATx@@","3-PumU","N@Pt[?"],
["+7ATwpa","13NPop","N@Pt[?"]],["L",3,23,["+QQN>x>","+QQUGJ>","0Xn5fjb","AuRkh^"],["+QQN>x>","Aqsp0>","Ar-9Hb","Bu+e64"],["+-4/vi","+0XZrL","+QQUGJ>"],
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["-WOYh_U","nCs>frC","++E-u@Ru"],[".MZ2*Ex","nCs>frC","++E-u@Ru"],[".jTDqhs","nCs>frC","++E-u@Ru"],["+;ZNdI-V","-S7by0c","++E-u@Ru"],["+;ZNdGUL",".L0PYVG","++E-u@Ru"],
["+;ZNdGaM",".gCk\\bP","++E-u@Ru"]],["L",3,37,["DimlT9@","Din^K?@","0,dxg7o@","7JbX@?6"],["DimlT9@","7IsxfF@","7IuUBv@","7fqZsC:"],["Fw_stM","Gd[WVl","Din^K?@"],
[",:oFktg>","7JSMJ3u"],["7Iu0ZNO","Fw_stM","+7iPjQ:Z","+:IrpprS",".FH,JMDx"],["7Iu0ZNO","0pMhdXP","+7iPjQ:Z","+?xGL/^_",".FH,JMDx"],
["7Iu0ZNO","458m5<7","+7iPjQ:Z","+;qGa6Oa",".FH,JMDx"],["8PloDuU","-8XV*q_@",".FH,JMDx"],["7uexfJh","-8XV*q_@",".FH,JMDx"],[">H4v+_U","-8XV*q_@",".FH,JMDx"],
["`wKDq[Z","7M>1XVT",".FH,JMDx"],["g752HuW","7Kp.7sP",".FH,JMDx"],["cW7:/i_","7KOprqc",".FH,JMDx"]],["L",3,41,[",@fln-l8",",@fm?6x8","9=70L<VT","HP>R6G."],
[",@fln-l8","HNjp::8","HNm;y0T","I:=@-oV"],["eLeXD-","fmpbV,",",@fm?6x8"],["1m*`ey2y","HOn-nQK"],["Ja2\\+s-",",_;]C4p8"]],
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["-4u\\9iRe","+*6V-NukH"],["?6bjEteR",",x3MlvG*"]],["L",3,59,["8*<9>VaK","8*<AlqPK","/0:=VBk3f","1*?wWwIV"],["8*<9>VaK","1*32/hFK","1*3B]Spf","13ZWoUS@"],
["3QP1m4y","3^4Luw,","8*<AlqPK"],[".RN2WIFFf","1*?*:rcE"],["1FYSOOIM",",\\-Jjc-YK"]],["L",3,61,["<@ZnxM/L","<@Zy3cML","0n\\RAYYvh","35R6POdV"],
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["3Y?aEq`U","-UHOBA_yL","/G]FFxj8g"],["3GH^vex\\","-UHOBA_yL","/G]FFxj8g"],["7l0wyZs?","-UHOBA_yL","/G]FFxj8g"],["0nPCyV\\kx","57[dyi^s","/G]FFxj8g"],
["0nPCyVm2D","8d8RIPKv","/G]FFxj8g"],["0nPCyVj9g",":RL8XAc[","/G]FFxj8g"]],["L",3,67,["Pd.-jk/O","Pd.>-[@O","9x=45XvF^","=GG\\Z[.6"],
["Pd.-jk/O","=G,,]MNO","=G,L4tE^","=^5ZeM7X"],["A3XYv,9","ANh0sQl","Pd.>-[@O"],["/P9\\VbeMv","=G:G=me0"],["=G,=nvqm","A3XYv,9","4;87rYV3R","4CVj6[3oV","2vKtyY7*I"],
["><Hfv*r-","2<Dnbr2?O","2vKtyY7*I"],["=iohD?fm","2<Dnbr2?O","2vKtyY7*I"],["GJ`OaxmY","2<Dnbr2?O","2vKtyY7*I"],["3XH/10uM;","=TU^[g>S","2vKtyY7*I"],
["3RfxT3WS]","=YM0Vk=Q","2vKtyY7*I"],["3Y]0VSOM^","=[x:mld0","2vKtyY7*I"]],["L",3,71,[",aUPH3\\\\o",",aUPmEW4o","Duowm<Uhr","HimM5;1."],
[",aUPH3\\\\o","HiFIK58o","HiFpR`2r","I<-vSrOt"],["LaZm?Ni","M86<U@,",",aUPmEW4o"],[",>8dKhf[7","HiPGh1t4"],["J1M6vMvU","APBZ]x:do"],["?O8,uWpB+","I4Ri*Ff["]],
["L",3,73,[",J@*N4GP\\",",J@*kuH6\\","L[AYD<TMD","PNx@O2T^"],[",J@*N4GP\\","PNJ4VBX\\","PNJc+>?D","PxUQ^`@f"],["T5Iq*<-","Tbuut,L",",J@*kuH6\\"],["/LZ77OanX","PNMDZ0_W"],
["PNJ6\\b>s","T5Iq*<-","+skZ\\Tk*R","BnMWmYySW","-m]:h=WJB"],["PNJ6\\b>s","A8?T]-e4","+skZ\\Tk*R","Bp-[21yp_","-m]:h=WJB"],
["PNJ6\\b>s",">+K5Gne2","+skZ\\Tk*R","BhWSa+Tk/","-m]:h=WJB"],["R,l@,w*=","?6+]rT[,\\","-m]:h=WJB"],["XWl,[^w/","?6+]rT[,\\","-m]:h=WJB"],
["RAKau?Ka","?6+]rT[,\\","-m]:h=WJB"]],["L",3,79,[",c+tZo3^c",",c+u<By.c","pUVKHj>7*","rF=/*Zh."],[",c+tZo3^c","rEBr6Wfc","rECiQ4+*","s>WMa6u,"],
["s>WMc1y","t7k/-v,",",c+u<By.c"],["ZT*s?<0pB","rF:0*lME"],["rEC58.fy","s>WMc1y","anPI\\oGI/","aoItdxwkE",">in69odVo"],["u10V_M?u","Yt1Ot0V^c",">in69odVo"],
["+;H?A6L?x","Yt1Ot0V^c",">in69odVo"],["+*ys1GPjC","Yt1Ot0V^c",">in69odVo"],["H:ct_^Rt*","rdb^c>5,",">in69odVo"],["H?joKCbrD","rP,/9lpf",">in69odVo"],
["HY+AolE_+","rad5FYcy",">in69odVo"],["pT\\>Qs0>v","+FhT75F_^",">in69odVo"],["pT\\>Qs;w2","+.iO/[tkq",">in69odVo"],["pT\\>Qs_/V","+W,Xk^WlY",">in69odVo"]],
["L",3,83,[",`i\\1jPkW",",`i\\aBn`W","+H1sK=W0lN","+EK.lL*L6"],[",`i\\1jPkW","+EIk/]@NW","+EIl<EgoN","+FaDCd8;H"],["+AS?>cUi","+Bem+WGL",",`i\\aBn`W"],
["3u*p+fHwb","+EJkN[2wO"],["+I@Fks0+=","bHb5ffEkW"]],["L",3,89,["1-4`buvDL","1-4a?Gc2L",",XRcCul<O4",",Edi>*?5."],["1-4`buvDL",",Ebq[dgHL",",Ebs=vF54",",Gk[s=]n6"],
[",2dDYFk=",",4ZAX8n,","1-4a?Gc2L"],["+8nQZ,+Zcb",",EdPdL.iW"],[",L-0UEn_M","pIDlub]xL"]],["L",3,97,["AFY8\\;ybW","AFY9^FTBW","/ZRk?YgEx,","._f[6*Go^"],
["AFY8\\;ybW","._cM.KVrW","._cOS4.`,",".cW^\\5AjN"],["-n;`I7hM","-qG>u_Vl","AFY9^FTBW"],["/U9Y<UHj6r","._d/B?bUT"],
["._cMo>ks;","-n;`I7hM",".UJ7M]U/jw",".UN,m^YJdu",",-R4A61KSC"],[".k@1tWxv-",",@9*+s.YBW",",-R4A61KSC"],["2NX+I2Udk",",@9*+s.YBW",",-R4A61KSC"],
["0Gl/@.6s-",",@9*+s.YBW",",-R4A61KSC"]],["L",3,101,["6raJnDm9`","6raLMFy/`","2/QiRm3jS@","0NIfINXmV"],["6raJnDm9`","0NEbOx@f`","0NEeXx4:@","0SNaKHyxj"],
["/2xwwy>-","/6ycGw*,","6raLMFy/`"],[",uI7rnE6Y_","0NIS*Gil7"],["0]`_B<KmU",".37^w*Bw/`"]],["L",3,103,["Of;;QfDln","Of;=YGcJn","3\\<BsoC.7b","1V1yskCV^"],
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["1V-OK@FGA","/o6ggQ^i","-*U;qAk`5q",",vFsC9/2hk","/@lJoREv\\2"],["1g\\sgrJue","/n4_RW\\5Hn","/@lJoREv\\2"],["33Xt58\\/M","/n4_RW\\5Hn","/@lJoREv\\2"],
["6M4CYIOZ5","/n4_RW\\5Hn","/@lJoREv\\2"]],["L",3,107,[">PY:<kauc",">PY<FLPpc","7W^yv[F@56","4=GD3tl-6"],[">PY:<kauc","4=AZ8:ofc","4=A^E.lN6","4Dv6auPU0"],
["1^VVw-89","1d<?M*Gl",">PY<FLPpc"],[",@NuBxjP*S","4=Ea/U4@+"],["4T??eM/e-","0s+tOBwQMc"],["-2-LDLiSpZ","4?-]N]u+,"]],
["L",3,109,["q>gIaZgT<","q>gMWgd6<",":,hZj8>u/H","5p:\\NwG:V"],["q>gIaZgT<","5p4<oGbc<","5p4A>s[0H","5xmWx?y]r"],["2cED7Dw=","2i`MCa6,","q>gMWgd6<"],
["/enJP_IsGx","5p7E:*p5o"],["5p4?CjXXG","2cED7Dw=","54eYO@yuxF","2a;_j0qCGl","3F<.a.lAuG"],["5p4?CjXXG","3s<0dB.cL","54eYO@yuxF","2_r0fb\\xDv","3F<.a.lAuG"],
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[":,_k8I5]EX","</*@Bjr\\:","3F<.a.lAuG"],[":,_k8I7A5w",">l.?:_^?Y","3F<.a.lAuG"],[":,_k8I7.Xm",";Ixl5OZoQ","3F<.a.lAuG"]],
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[";X026wwqci","9mb>:t.a3"],[":?Au>*e[=","1T4Rcgg9VT"],["0yKA7>j-VJ","9q8Z:K3DN"]],["L",3,127,["+S++YSe/;3","+S++`9=-[3","iTnMUhSEhJ","RE:U-3Gc^"],
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--> --------------------

--> maximum size reached

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