sml512.bq

#############################################################################
##
#W  sml512.bq              GAP library of groups           Hans Ulrich Besche
##                                               Bettina Eick, Eamonn O'Brien
##

SMALL_GROUP_LIB[ 512 ][ 69 ] := [
"%%%%%l8Yj/%%%%%%G)%%%dhj(&A,%/!HG2Tb)O!HJrAb%(!HJrBb%(!3JqAb%q!3Jq]b%q!3J5{\
b%*!3JrAb%(!3JrBb%(!QJqAb%q!QJq]b%q!QJ5{b%*!QJrAb%(!QJrBb%(!D5,Cb%P!D5JCb%P!\
D5-Cb%P!D5KCb%P!D6,Cb%<",
"%%%%%l8Y&/%%%%%%G)%%%dbh(&A,%/!FJy6V!FS}%P!FK}%P!FT}%P!O,}%P!O5}%P!O-}%P!O6\
}%P!OJ}%P!OS}%P!OK}%P!OT}%P!+,}%P!+5}%P!+-}%P!+6}%P )Jv%*.26:AEIMQU",
"%%%%%08Yc/%%%%%%G)%%%dbh(&A,%/!1J}:H!1S}%P!1K}%P!1T}%P!O,}%P!O5}%P!O-}%P!O6\
}%P!OJ}%P!OS}%P!OK}%P!OT}%P!+,}%P!+5}%P!+-}%P!+6}%H",
"%%%%%l8GE/%%%%%%G)%%%dbh(&A,%/!)[q90!-:z%P!-Xz%P!->z%P!-[z%P!J:z%P!JXz%P!J>\
z%P!J[z%P!K:z%P!KXz%P!K>z%P!K[z%P!5:z%P!5Xz%P!5>z%P!5[h&.",
"%%%%%l8YE/%%%%%%G)%%%dbh(&A,%/ 16}dehi(),-014589=>CDGHKLOPSTWX[]bcfgjk!1J}%\
P!1S}%P!1K}%P!1T}%P!O,}%P!O5}%P!O-}%P!O6}%P!OJ}%P!OS}%P!OK}%P!OT}%P!+,}%P!+5\
}%P!+-}%P!)0:)O",
"%%%%%l8PE/%%%%%%G)%%%dbh(&A,%/!,[z6U!-:z%P!-Xz%P!->z%P!-[z%P!J:z%P!JXz%P!J>\
z%P!J[z%P!K:z%P!KXz%P!K>z%P!K[z%P!5:z%P!5Xz%P!5>z%C",
"%%%%%l8Yi/%%%%%%G)%%%dbh(&A,%/!38sV:J!39st%P!3<jt%P!3=jt%P!3<st%P!3=st%P!Q8\
jt%P!Q9jt%P!Q8st%P!Q9st%P!Q<jt%P!Q=jt%P!Q<st%P!Q=st%P!%Vjt%P!%Wjt%P!%Vs8&)",
"%%%%%l8G*/%%%%%%G)%%%dbh(&A,%/!,>z=3!,[z%P!-:z%P!-Xz%P!->z%P!-[z%P!J:z%P!JX\
z%P!J>z%P!J[z%P!K:z%P!KXz%P!K>z%P!K[z%P!5:z%P!5Xz%M",
"%%%%%l8Y*/%%%%%%G)%%%dbh(&A,%/!02[)O!1-}%P!16}%P!1J}%P!1S}%P!1K}%P!1T}%P!O,\
}%P!O5}%P!O-}%P!O6}%P!OJ}%P!OS}%P!OK}%P!OT}%P!+,}%P!+5}%<",
"%%%%%l8P*/%%%%%%G)%%%dbh(&A,%/!,Xq6V!,>z%P!,[z%P!-:z%P!-Xz%P!->z%P!-[z%P!J:\
z%P!JXz%P!J>z%P!J[z%P!K:z%P!KXz%P!K>z%P!K[z%P!5:z%P /Xh%*.26:AEIMQU",
"%%%%%l8Yf/%%%%%%G)%%%dbh(&A,%/!2gCb:H!2dab%P!2gab%P!2mCb%P!2pCb%P!2mab%P!2p\
ab%P!PdCb%P!PgCb%P!Pdab%P!Pgab%P!PmCb%P!PpCb%P!Pmab%P!Ppab%P!&dCb%H",
"%%%%%l8GH/%%%%%%G)%%%dbh(&A,%/!):q90!,Xz%P!,>z%P!,[z%P!-:z%P!-Xz%P!->z%P!-[\
z%P!J:z%P!JXz%P!J>z%P!J[z%P!K:z%P!KXz%P!K>z%P!K[z%P!5:h&.",
"%%%%%l8YH/%%%%%%G)%%%dbh(&A,%/ 1,}dehi(),-014589=>CDGHKLOPSTWX[]bcfgjk!15}%\
P!1-}%P!16}%P!1J}%P!1S}%P!1K}%P!1T}%P!O,}%P!O5}%P!O-}%P!O6}%P!OJ}%P!OS}%P!OK\
}%P!OT}%P!)%:)O",
"%%%%%l%PH/%%%%%%G)%%%dbh(&A,%/!8jt6U!9jt%P!8st%P!9st%P!<jt%P!=jt%P!<st%P!=s\
t%P!Vjt%P!Wjt%P!Vst%P!Wst%P!Yjt%P!Zjt%P!Yst%P!Zst%C",
"%%%%%l8PH/%%%%%%G)%%%dbh(&A,%/!K[q:J!5:z%P!5Xz%P!5>z%P!5[z%P!6:z%P!6Xz%P!6>\
z%P!6[z%P!S:z%P!SXz%P!S>z%P!S[z%P!T:z%P!TXz%P!T>z%P!T[h&)",
"%%%%%l8Yj/%,%%%%G)%%%dhj(vA,%/!QOOJ7b=3 %++h,b%6*M:^(K,O&J7Z+<)L-P.Q2U0C4WG\
j/R3V1TDg5H %++i,b%6*M:^(K,O&J7Z+<)L-P.Q2U0C4WGj/R3V1TDg5H!%++jJ%+{!%++h-b%*\
!%++hKb%*!D++,.b%P!D++,Lb%P!D++5.b%P!D++5Lb%P!D++J.b%P!D++JLb%P!D++S.b%P!D++\
SLb%P!/++h,b(g /++i,b%I*M(8,O=b&J7Z+<)L-P.A2UEh0S4W/R3V1TDg5H!/++jJ%+{!/++,-\
b&.",
"%%%%%l8Gb/%)%%%%G)%%%b)j(8A,%/ 1v>^abc./012345ABCDEFGHQRSTUVWXdefghijk!1v[%\
*!OdC%P!Oda%P!OgC%P!Oga%P!OmC%P!Oma%P!OpC%P!Opa%P!+j:%w!+jX%w!+s:%w!+sX%w!+j\
>%*!+s>%*!Ij:%w IdX%(IK68Y[.0QSACdf*,MO",
"%%%%%l8YD/%)%%%%G)%%%b)j(8A,%/ FjX89[]./QRABde23UVEFhi01STCDfg!Fs:%d!FsX%d!\
Fj>%*!Fs>%*!1j:%w!1jX%w!1s:%j!1sX%j!1j>%*!1s>%*!Oj:%w!OjX%w!Os:%j!OsX%j!Oj>%\
*!Os>%*!+j:%w!+jX%w!+s:%u!+sX%u +j>%&()*+,-6789:<=>IJKLMNOPYZ[]^abc./012345A\
BCD",
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89[],-OP=>bc./QRABde01STCDfg45WXGHjk HBy8%&IJ67YZ()KL89[],-OP=>bc./QRABde01S\
TCDfg45WXGHjk!HAvV%*!HBvV%*!3Av8%w!3Ay8%w!3Bv8%v!3By8%v!3AvV%*!3BvV%*!QAv8%w\
!QAy8%w!QBv8%v!QBy8%v!QAvV%*!QBvV%*!%]:8&)",
"%%%%%l%G)/%)%%%%G)%%%b)j(8A,%/!A:t=3!A>t%P!AXt%P!A[t%P!B:t%P!B>t%P!BXt%P!B[\
t%P!]:t%P!]>t%P!]Xt%P!][t%P!^:t%P!^>t%P!^Xt%P!^[t%M",
"%%%%%l8G)/%)%%%%G)%%%b)j(8A,%/!HQq)O!7,z%P!7-z%P!75z%P!76z%P!7Jz%P!7Kz%P!7S\
z%P!7Tz%P!U,z%P!U-z%P!U5z%P!U6z%P!UJz%P!UKz%P!USz%P!UTz%<",
"%%%%%l8Ge/%)%%%%G)%%%b)j(8A,%/!Op[6V!+j:%w!+jX%w +s:%I6Y*M:^()KL89[].QAd2UE\
h01STCDfg +sX%I6Y*M:^()KL89[].QAd2UEh01STCDfg!+j>%*!+s>%*!Ij:%w!IjX%w!Is:%d!\
IsX%d!Ij>%*!Is>%*!4j:%w!4jX%w!4s:%j!4sX%j!4j>%*!4s>%*!Rj:%w!RjX%w R1:%*IM6:Y\
^.2QU",
"%%%%%l8YG/%)%%%%G)%%%b)j(8A,%/ Os:89[]./QR23UV01STCDfg!OsX%j!Oj>%*!Os>%*!+j\
:%w!+jX%w!+s:%u!+sX%u!+j>%*!+s>%*!Ij:%w!IjX%w Is:%&IJ67YZ(K8[,O=b./QRABde0SC\
f4WGj IsX%&IJ67YZ(K8[,O=b./QRABde0SCf4WGj!Ij>%*!Is>%*!4j:%w!4jX%w!4s:%v!4sX%\
v!4j>%*!4m>&)",
"%%%%%l8YJ/%,%%b%G)%%%bej(:A,%/ 3Js-bMNOPYZ[]^abc./012345ABCDEFGHQRSTUVWXdef\
ghijk!QJj,b%w!QJjJb%w!QJs,b%v!QJsJb%v!QJj-b%*!QJs-b%*!%7d5b%q!%7g5b%q!%5j6b%\
*!%7m5b%(!%7m6b%(!D7d5b%q!D7g5b%q!D5j6b%*!D7m5b%(!D7m6b%(!/7d5b%q /7g5b%&IJ.\
/QR*+MN23UV()01,-4567YZABde:<^aEFhi89CD",
"%%%%%l8YD/%%%%D%G)%%%bej(&A,%/!/WO)O!1:y%*!1wv%(!1wy%(!Otv%q!Ouv%q!O:y%*!Ow\
v%(!Owy%(!+tv%q!+uv%q!+:y%*!+wv%(!+wy%(!Itv%q!Iuv%q!I:y%*!Iwv%(!G)>)O",
"%%%%%l8Yh/%%%%D%G)%%%bej(9A,%/!HCJq5m!3C,h%q!3C5h%q!3:Aq%*!3CJh%(!3CJq%(!QC\
,h%q!QC5h%q!Q:Aq%*!QCJh%(!QCJq%(!%X,z%P!%X-z%P!%X5z%P!%X6z%P!%XJz%P!%XKz%C",
"%%%%%08Y)/%%%%D%G)%%%b)j(9A,%/!.Kq:J!.Sz%P!.Tz%P!L,z%P!L-z%P!L5z%P!L6z%P!LJ\
z%P!LKz%P!LSz%P!LTz%P!7,z%P!7-z%P!75z%P!76z%P!7Jz%P!7Kh&)",
"%%%%%l8Ye/%%%%D%G)%%%bej(9A,%/!)i>t=3!)iXt%P!)i[t%P!2h:t%P!2h>t%P!2hXt%P!2h\
[t%P!2i:t%P!2i>t%P!2iXt%P!2i[t%P!&z:8%q!&zX8%q!&hvV%*!&{:8%(!&{:V%( Ez:8%&IJ\
./QR*+MN23UV()01,-4567YZ",
"%%%%%l8YG/%%%%D%G)%%%bej(&A,%/ FVv68Y[.0QSACdf*,:=24EG!Fuv%q!F:y%*!Fwv%(!Fw\
y%(!1tv%q!1uv%q!1:y%*!1wv%(!1wy%(!Otv%q!Ouv%q!O:y%*!Owv%(!Owy%(!+tv%q!+uv%q!\
+:y%*!)):)O",
"%%%%%l8Yh/%,%%D%G)%%%bej((A,%/!*LmX5m!*Lm[%(!HLdX%q!HLgX%q!HJj[%*!HLmX%(!HL\
m[%(!3LdX%q!3LgX%q!3Jj[%*!3LmX%(!3Lm[%(!QLdX%q!QLgX%q!QJj[%*!QLmX%(!QLm[%( D\
5d:%6.QAd*M2U(K",
"%%%%%l8Gb/%)%%D%G)%%%b)j(tA,%/ Fv,b7Z+<)L-P.Q2U0C4WGj/R3V1TDg5H FvJb%6*M:^(\
K,O&J7Z+<)L-P.Q2U0C4WGj/R3V1TDg5H!Fvq%+{!Fv-b%*!Fv6b%*!Ov,b(g OvJb%I*M(8,O=b\
&J7Z+<)L-P.A2UEh0S4W/R3V1TDg5H!Ovq%+{!Ov-b%*!Ov6b%*!+j,b%w!+j5b%w!+s,b%d!+s5\
b%d!+j-b%*!+s-b%*!Ij,b%w!Ij5b%w!Is,b%w Is5b%&IJ67YZ*+MN:<^a()KL89[]./QRABde2\
3UV",
"%%%%%l8YD/%)%%D%G)%%%b)j(8A,%/ FpXACdf*,MO:=^b!Fj>%*!Fs>%*!1j:%w!1jX%w!1s:%\
j!1sX%j!1j>%*!1s>%*!Oj:%w!OjX%w!Os:%j!OsX%j!Oj>%*!Os>%*!+j:%w!+jX%w +s:%&IJ6\
7YZ()KL89[],-OP=>bc./QRABde01STCDfg45WXGHjk +sX%&IJ67YZ()KL89[],-OP=>bc./QRA\
Bde01STCDfg45WXGHjk!+j>%*!+m>&.",
"%%%%%l8Yh/%)%%D%G)%%%b)j(8A,%/ *BvV^abc./012345ABCDEFGHQRSTUVWXdefghijk!HAv\
8%w!HAy8%w!HBv8%u!HBy8%u!HAvV%*!HBvV%*!3Av8%w!3Ay8%w!3Bv8%v!3By8%v!3AvV%*!3B\
vV%*!QAv8%w!QAy8%w!QBv8%v!QBy8%v!QAvV%*!QBvV%*!%]:t%P!%]>t%<",
"%%%%%l8G)/%)%%D%G)%%%b)j(8A,%/!.-q6V!.5z%P!.6z%P!.Jz%P!.Kz%P!.Sz%P!.Tz%P!L,\
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"%%%%%l8Ge/%)%%D%G)%%%b)j(8A,%/!1da:H!1gC%P!1ga%P!1mC%P!1ma%P!1pC%P!1pa%P!Od\
C%P!Oda%P!OgC%P!Oga%P!OmC%P!Oma%P!OpC%P!Opa%P!+j:%w!+%F)O",
"%%%%%l8GG/%)%%D%G)%%%b)j(8A,%/ .Bh67YZ*+MN:<^a()KL89[]./QRABde23UVEFhi01STC\
Dfg!.]h%d!.^h%d!.Aq%*!.]q%*!LAh%w!LBh%w L]h%I6Y*M:^()KL89[].QAd2UEh01STCDfg \
L^h%I6Y*M:^()KL89[].QAd2UEh01STCDfg!LAq%*!L]q%*!7Ah%w!7Bh%w!7]h%j!7^h%j!7Aq%\
*!7]q%*!UAh%w!UBh%w!U]h%j!U^h%j!U,q&.",
"%%%%%l8YG/%)%%D%G)%%%b)j(8A,%/ Oj>^abc./012345ABCDEFGHQRSTUVWXdefghijk!Os>%\
*!+j:%w!+jX%w +s:%&IJ67YZ(K8[,O=b./QRABde0SCf4WGj +sX%&IJ67YZ(K8[,O=b./QRABd\
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4sX%v!4j>%*!4s>%* Rj:%&IJ67YZ*+MN:<^a()KL89[]./QRABde23UV",
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j-b%*!QOs-b%*!%+dqb%X!%+gqb%X!%+j6b%*!%+m7b%P!%+mUb%P!D+dqb%X!D+gqb%X!D+j6b%\
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"%%%%%l8YD/%%%%%%G))%%b)j(9A,%/!1mC:H!1ma%P!Odv%X!Ogv%X!Oj>%*!OmC%P!Oma%P!+d\
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SMOY[",
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%*!3B:t%P!3B>t%P!QAC8%X!QAa8%X!QAvV%*!QB:t%P!QB>t%P!%]:t%P!%]>t%P!%]Xt%P!%][\
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=IKQSMOY[",
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S!+m>9/!+4}%S!+p>9/!Idv%X!Igv%X!Ij>%* Gm}%&*+67:<IJMNYZ^a./23ABEFQRUVdehi(),\
-89=>KLOP",
"%%%%%l8Ye/%)%%%%G))%%b)j(8A,%/!Gwib:J!G=}b%T!GZib&Y!2tzb%X!2uzb%X!2wzb%7!2x\
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tsb%P!&ujb%P!&usb%P!&wjb%P!&wqb&)",
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