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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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

SMALL_GROUP_LIB[ 512 ][ 71 ] := [
"%%%%%k9%b//)%/%DG2%%%b8jdtC,)%!(WWg8H!(V[g%-!(W[g%-!(YXg%-!(ZXg%-!(Y[g%-!(Z\
[g%-!1V8y%P!1V9y%P!1W8y%P!1W9y%P!1Y8y%P!1Y9y%P!1Z8y%P!1Z9y%P!I8Vv%P G8Wd%*.2\
6:AEIMQUY^",
"%%%%%k9%d//)%/%DG2%%%dtjdtC,)%!Gbcgh:^!Gecdh%P!Gecgh%P!Gkcdh%P!Gkcgh%P!Gncd\
h%P!Gncgh%P!&ccj5%-!&cfj5%-!&ccs5%-!&cfs5%-!&clj5%-!&coj5%-!&cls5%-!&cos5%-!\
0cbdq%J",
"%%%%%k9%d/8,,/%DG2%%%dtjd8C,)% 0N+(=bAEIMQUY^dh!0O+(^b%P!0O+1Bb%P!0O+1^b%P!\
0O+FBb%P!0O+F^b%P!0O+OBb%P!0O+O^b%P!HO(+Ab%P!HO(+]b%P!HO1+Ab%P!HO1+]b%P!HOF+\
Ab%P!HOF+]b%P!HOO+Ab%P!HOO+]b%P!%+++9b&0",
"%%%%%k&%d/%%)/%DG2%%%dtjFtC,)% (+,ubfg*+,-2345:<=>EFGHMNOPUVWX^abchijk!(+5u\
b%-!(+-ub%-!(+6ub%-!(+Jub%-!(+Sub%-!(+Kub%-!(+Tub%-!O(,Ab%P!O(,]b%P!O1,Ab%P!\
O1,]b%P!OF,Ab%P!OF,]b%P!OO,Ab%P!OO,]b%P )),9b%.6AIQ",
"%%%%%k&%c/%%)/%DG2%%%dtjFtC,)% ,5:g016789ABCDIJKLQRSTYZ[]defg*+,-2345:<=>EF\
GHMNOPUVWX^abchijk!,5Xg%-!,5>g%-!,5[g%-!,6:g%-!,6Xg%-!,6>g%-!,6[g%-!S,8v%P!S\
,9v%P!SJ8v%P!SJ9v%P!T,8v%P!T,9v%P!TJ8v%P!TJ9v%E",
"%%%%%k&%d/8%)/%DG2%%%dtjFtC,)%!Pnd68:a!&cdAV%-!&cgAV%-!&cd]V%-!&cg]V%-!&cmA\
V%-!&cpAV%-!&cm]V%-!&cp]V%-!Nbd.8%P!Nbd78%P!Ned.8%P!Ned78%P!Nkd.8%P!Nkd78%P!\
Nnd.8%P!Nnd58&+",
"%%%%%k&%d//%)/%DG2%%%dtjFtC,)%!OO,]b=P!++,ub%-!++5ub%-!++-ub%-!++6ub%-!++Ju\
b%-!++Sub%-!++Kub%-!++Tub%-!R(,Ab%P!R(,]b%P!R1,Ab%P!R1,]b%P!RF,Ab%P!RF,]b%P!\
RO,Ab%O",
"%%%%%k&%d/8,)/%DG2%%%dtjFtC,)% Q3/EJ%I!Q=8gh%P!%VVj5%-!%VWj5%-!%VVs5%-!%VWs\
5%-!%VYj5%-!%VZj5%-!%VYs5%-!%VZs5%-!MV8dh%P!MV8gh%P!MW8dh%P!MW8gh%P!MY8dh%P!\
MY8gh%P!MZ8dh%>",
"%%%%%k&%d/%))/%DG2%%%dtjFtC,)%!OO,<b8H!OO,]b%P!++,ub%-!++5ub%-!++-ub%-!++6u\
b%-!++Jub%-!++Sub%-!++Kub%-!++Tub%-!R(,Ab%P!R(,]b%P!R1,Ab%P!R1,]b%P!RF,Ab%P!\
RF,]b%P PO,8b%*.26:AEIMQUY^",
"%%%%%k&%d/8))/%DG2%%%dtjFtC,)%!Pnd.8:^!Pnd78%P!&cdAV%-!&cgAV%-!&cd]V%-!&cg]\
V%-!&cmAV%-!&cpAV%-!&cm]V%-!&cp]V%-!Nbd.8%P!Nbd78%P!Ned.8%P!Ned78%P!Nkd.8%P!\
Nkd78%J",
"%%%%%k&%d//))/%DG2%%%dtjFtC,)% NF,YbAEIMQUY^dh!OO,Ab%P!OO,]b%P!++,ub%-!++5u\
b%-!++-ub%-!++6ub%-!++Jub%-!++Sub%-!++Kub%-!++Tub%-!R(,Ab%P!R(,]b%P!R1,Ab%P!\
R1,]b%P!RF,Ab%P!RF,Vb&0",
"%%%%%k&%F/8,,8bDG2%%%dhddvA,,8!QOF5Lk>C!QOO5.k%P!QOO5Lk%P!%+>,5e&w!%+>K5e&w\
!%+>-5e%(!%++.6e%-!%+4-6e&1!%++K6e&1!D+>,5e&w!D+>K5e&w D+(7,k%.(80C&7)9IQK[S\
fJZL]*:,=+3->5HM^ObNVPcXk D+(7Jk%6(8&/)91DIYK[JRL]Tg*2,=4G+<->MUObWjNaPc D)+\
75n%6*M:^(K,O.Q2U0C4WGj!D+>-5e%(!D++.6e%-!D+4-6e&1!D++K6e&1!D+(5ik%-!D)F7hk%\
4!D+F5ik%- D))/0n%I",
"%%%%%k98D/%%%%DDG2%%%beddcA,,/!D9ik6W!1thb&w!1wqb&w!1tqb%(!18{b%-!1Vrb&1!1<\
rb&1!Othb&w!Owqb&w!Otqb%(!O8{b%-!OVrb&1!O<rb&1!Ithb&w!Iwqb&w!Itqb%(!I8{b%-!I\
Vrb&1!I<rb&1!4thb&w!4wqb&w!4tqb%(!48ib&-",
"%%%%%k98h/%%%%DDG2%%%bed(uA,%/ 3:Aq[]defg*+,-2345:<=>EFGHMNOPUVWX^abchijk!3\
><q&1!3:Yq&1!%X8z%P!%X9z%P!%XVz%P!%XWz%P!%X<z%P!%X=z%P!%XYz%P!%XZz%P!DX8z%P!\
DX9z%P!DXVz%P!DXWz%P!DX<z%P!DX=z%P DDG,%I",
"%%%%%k9%)/%%%%DDG2%%%b)d(uA,%/!LYz5n!LZz%P!78z%P!79z%P!7Vz%P!7Wz%P!7<z%P!7=\
z%P!7Yz%P!7Zz%P!U8z%P!U9z%P!UVz%P!UWz%P!U<z%P!U=z%B",
"%%%%%k9%e/%%%%DDG2%%%b)d(uA,%/ Oi[:=ACEGIKMOQSUWY[^bdfhj!OrC%P!Ora%P!+hC%P!\
+ha%P!+qC%P!+qa%P!+iC%P!+ia%P!+rC%P!+ra%P!IhC%P!Iha%P!IqC%P!Iqa%P!IiC%P!IiX&\
(",
"%%%%%k9%G/%%%%DDG2%%%b)d(uA,%/!L=z<q!LYz%P!LZz%P!78z%P!79z%P!7Vz%P!7Wz%P!7<\
z%P!7=z%P!7Yz%P!7Zz%P!U8z%P!U9z%P!UVz%P!UWz%P!U<z%L",
"%%%%%k9%j/8%,%DDG2%%%dAjdvC,,8 Q&*(IJD6AIQYd!Q(+(RhD%P!Q(+1IhD%P!Q(+1RhD%P \
GOd+(-%%I*M(K0S,O4W&J/R)L1T6Y:^8C=G7ZBe9]Dg GOd+F-%%I.Q(K0S&/+3)L-P6YAd8[Cf7\
ZBe<aFi9]>c GOd+1-%%.*2(K,O&J/R)L1T6YAd:^Eh8[=b7ZBe9]Dg GOd+O-%%I.Q(K0S&J+N)\
L1T-P5X6YAd8[Cf7Z<a9D>H!GOd+(K%%(!GOd+1K%%(!/+1((r%%P!/+1(1r%%P!/+11(r%%P!/+\
111r%%P!/+1F(r%%P!/+1F1r%%P!/+1O(r%%P!/+1O1r%%P!GI(+(-%&(",
"%%%%%k9%d/8%)%DDG2%%%dtjd8C,)%!H88Xh<q!H88[h%P!H98Xh%P!H98[h%P!H<8Xh%P!H<8[\
h%P!H=8Xh%P!H=8[h%P!/VV:q%P!/VV>q%P!/VW:q%P!/VW>q%P!/VY:q%P!/VY>q%P!/VZ:q%P!\
/VZ>q%L",
"%%%%%k9%b/8%,8DDG2%%%dtjd8C,)% 0G3Kp6AIQYd!/55,y%P!/55-y%P!/55Jy%P!/55Ky%P!\
/56,y%P!/56-y%P!/56Jy%P!/56Ky%P!G5,5v%P!G5,6v%P!G5J5v%P!G5J6v%P!G6,5v%P!G6,6\
v%P!G6J5v%P!G6J6v%:",
"%%%%%k9%d/%%%/DDG2%%%dtjd8C,)%!Gncr85o!0cbjV%P!0cbsV%P!0cejV%P!0cesV%P!0ckj\
V%P!0cksV%P!0cnjV%P!0cnsV%P!Hbcj8%P!Hbcs8%P!Hecj8%P!Hecs8%P!Hkcj8%P!Hkcs8%P!\
Hncj8%P H2cq8%*.26:AEIM",
"%%%%%k9%d/8%%/DDG2%%%dtjd8C,)%!H=8[h:/!/VV:q%P!/VV>q%P!/VW:q%P!/VW>q%P!/VY:\
q%P!/VY>q%P!/VZ:q%P!/VZ>q%P!GV8Xh%P!GV8[h%P!GW8Xh%P!GW8[h%P!GY8Xh%P!GY8[h%P!\
GZ8Xh%G",
"%%%%%k9%d//%%/DDG2%%%dtjd8C,)%!GPci86W!Gncs8%P!0cbjV%P!0cbsV%P!0cejV%P!0ces\
V%P!0ckjV%P!0cksV%P!0cnjV%P!0cnsV%P!Hbcj8%P!Hbcs8%P!Hecj8%P!Hecs8%P!Hkcj8%P!\
Hkcs8%P!Hnch8&-",
"%%%%%k9%d/8,%/DDG2%%%dtjd8C,)%!HKJ5v={!HKJ6v%P!/55,y%P!/55-y%P!/55Jy%P!/55K\
y%P!/56,y%P!/56-y%P!/56Jy%P!/56Ky%P!G5,5v%P!G5,6v%P!G5J5v%P!G5J6v%P!G6,5v%P!\
G6,6v%P G0D/(%I",
"%%%%%k9%d/%)%/DDG2%%%dtjd8C,)%!Gncj85n!Gncs8%P!0cbjV%P!0cbsV%P!0cejV%P!0ces\
V%P!0ckjV%P!0cksV%P!0cnjV%P!0cnsV%P!Hbcj8%P!Hbcs8%P!Hecj8%P!Hecs8%P!Hkcj8%P!\
Hkcs8%B",
"%%%%%k9%d/8)%/DDG2%%%dtjd8C,)% H<8[J:=ACEGIKMOQSUWY[^bdfhj!H=8Xh%P!H=8[h%P!\
/VV:q%P!/VV>q%P!/VW:q%P!/VW>q%P!/VY:q%P!/VY>q%P!/VZ:q%P!/VZ>q%P!GV8Xh%P!GV8[\
h%P!GW8Xh%P!GW8[h%P!GY8Xh%P!GY8[,&(",
"%%%%%k9%d//)%/DDG2%%%dtjd8C,)%!Gkcs8<q!Gncj8%P!Gncs8%P!0cbjV%P!0cbsV%P!0cej\
V%P!0cesV%P!0ckjV%P!0cksV%P!0cnjV%P!0cnsV%P!Hbcj8%P!Hbcs8%P!Hecj8%P!Hecs8%P!\
Hkcj8%L",
"%%%%%M&%F/8,,/DDG2%%%dbbF8A,)% PNib6AIQYd!Pmsb%P!Ppjb%P!Ppsb%P!&djb%P!&dsb%\
P!&gjb%P!&gsb%P!&mjb%P!&msb%P!&pjb%P!&psb%P!Edjb%P!Edsb%P!Egjb%P!Egsb%P!Emjb\
%:",
"%%%%%M&%F/8%)/DDG2%%%dbbF8A,)%!KAq5o!KBz%P!K]z%P!K^z%P!5Az%P!5Bz%P!5]z%P!5^\
z%P!6Az%P!6Bz%P!6]z%P!6^z%P!SAz%P!SBz%P!S]z%P!S^z%P NAh%*.26:AEIM",
"%%%%%M&%F/8,)/DDG2%%%dbbF8A,)%!OLC:/!OLa%P!OUC%P!OUa%P!+.C%P!+.a%P!+7C%P!+7\
a%P!+LC%P!+La%P!+UC%P!+Ua%P!I.C%P!I.a%P!I7C%P!I7a%G",
"%%%%%M&%F/8))/DDG2%%%dbbF8A,)%!G^q6W!KAz%P!KBz%P!K]z%P!K^z%P!5Az%P!5Bz%P!5]\
z%P!5^z%P!6Az%P!6Bz%P!6]z%P!6^z%P!SAz%P!SBz%P!S]z%P!S^h&-",
"%%%%%k&%d/8,,8bDG2,%%dzjdvC,,8!QQ9,5L<={!QQ<,5.<%P!QQ<,5L<%P!QQ=,5.<%P!QQ=,\
5L<%P %%aS5/Z%IM(K,&JN)L-6Y^8[=7Za9]>.Q2U/R3VAdEhBeFi!%%VJ5hY%-!%%VJShY%-!%%\
VJ6hY%-!%%VJThY%-!%%VK5hY%-!%%VKShY%-!%%VK6hY%-!%%VKThY%-!D%V5,79%P!D%V5,U9%\
P!D%V5J59&-",
"%%%%%k9%%/%%%%%DG2)%%bzj(vC,,8!J5V]e={!J5W]e%P!J5<]e%P!J5=]e%P!J5Y]e%P!J5Z]\
e%P 7StEn%&IJQR()KL01:<^ahi=>bcGH67!6S%Wn6W!5J8Bk%P!5J9Bk%P!5JVBk%P!5JWBk%P!\
5K8Bk%P!5K9Bk%P!5KVBk%P!5KWBk%P!S58]e%P!S59Ve&-",
"%%%%%k9%,/%%%%%DG2)%%b)d(uA,%/!Oha={!OqC%P!Oqa%P!OiC%P!Oia%P!OrC%P!Ora%P!+h\
C%P!+ha%P!+qC%P!+qa%P!+iC%P!+ia%P!+rC%P!+ra%P!IhC%P G%F%I",
"%%%%%k9%)/%%%%%DG2)%%b)d(uA,%/!L9z5n!LVz%P!LWz%P!L<z%P!L=z%P!LYz%P!LZz%P!78\
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"%%%%%k98)/%%%%%DG2)%%b)d(uA,%/ Oh>:=ACEGIKMOQSUWY[^bdfhj!Oha%P!OqC%P!Oqa%P!\
OiC%P!Oia%P!OrC%P!Ora%P!+hC%P!+ha%P!+qC%P!+qa%P!+iC%P!+ia%P!+rC%P!+ra%P!Ih:&\
(",
"%%%%%k9/)/%%%%%DG2)%%b)d(uA,%/!L8z<q!L9z%P!LVz%P!LWz%P!L<z%P!L=z%P!LYz%P!LZ\
z%P!78z%P!79z%P!7Vz%P!7Wz%P!7<z%P!7=z%P!7Yz%P!7Zz%L",
"%%%%%k98e/%%%%%DG2)%%b)d(uA,%/ 2RTb6AIQYd!Pv.b%P!Pv7b%P!Py.b%P!Py7b%P!PvLb%\
P!PvUb%P!PyLb%P!PyUb%P!&v.b%P!&v7b%P!&y.b%P!&y7b%P!&vLb%P!&vUb%P!&yLb%P!&yUb\
%:",
"%%%%%k9%G/%%%%%DG2)%%b)d(uA,%/!.Zq5o!L8z%P!L9z%P!LVz%P!LWz%P!L<z%P!L=z%P!LY\
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"%%%%%k98G/%%%%%DG2)%%b)d(uA,%/!1ra:/!OhC%P!Oha%P!OqC%P!Oqa%P!OiC%P!Oia%P!Or\
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"%%%%%k9/G/%%%%%DG2)%%b)d(uA,%/!+Yq6W!.Zz%P!L8z%P!L9z%P!LVz%P!LWz%P!L<z%P!L=\
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"%%%%%k98g/%%%%%DG2)%%d,j(uA,%/!39gLb={!39gUb%P!Q9d.b%P!Q9d7b%P!Q9g.b%P!Q9g7\
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%Yg.b%P %G/%b%I",
"%%%%%k9%*/%%%%%DG2)%%d%j(&A,%/!-mz5n!-pz%P!Jdz%P!Jgz%P!Jmz%P!Jpz%P!Kdz%P!Kg\
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(",
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%:",
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