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

SMALL_GROUP_LIB[ 512 ][ 44 ] := [
"%%%%%k99j/8,,8%FD8,%%&%D%%/%%%!}u3%=s!}tQ%0k!}uQ%0k!}h%D,A!z{%D0k!}t/D0k!}u\
/D0k!}tMD0k!}uMD0k }d)D%I6Y*M:^(K8[0SCf,O=b4WGj&J7Z/RBe)L9]1TDg!z{)D5P!}t2D0\
k!}u2D0k!}tPD0k!}uPD0k!}h&D,A!}t0D0R",
"%%%%%k99j/8,,8bFD8,,%&%D%%/%%%!}M/M=a!}u/M0k!}tMM0k!}uMM0k!}b9M,A!}k0M/g!}u\
0M0k!}tNM0k!}uNM0k!}t%).u!jw%)/g!v{%)0=!zzD)0k!z{D)0k!}t)).u!jw))/g!vi))/I!z\
zG)0k!z{G)0k!vu%G/,",
"%%%%%k99j/8,,8bDD8,,%&%b(%/%%% v{&2[0SCf,O=b4WGj&J7Z/RBe+N<a3VFi)L9]1TDg!zz\
E20k!z{E20k v{*2%I6Y.QAd*M:^2UEh)L9]1TDg!zzH20k!z{H20k!}t%P.u!jw%P/g!v{%P0^!\
}t)P.u!jw)P/g v{)P%I6Y.QAd*M:^2UEh)L9]1TDg!v{&P0=!vi*P/I zz%&%I6Y*M:^2UEh(K8\
[,O=b4WGj&J7Z/RBe!}e%&6,!z{%&09!}f%&6, zzD&%I6YAd*M:^2U(K8[Cf,O=G&J7Z/RBe!}e\
D&6,!z{D&09!}fD&6,!}t/&0k!}w/&0g",
"%%%%%k99j/8,,8%FD8%%%&%%&%/%%% xP/I6Y!}tM0k!}wM0k zv)%I6Y*M:^2UEh(K8[,O=b4W\
Gj&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk!}f)/g }tG%6Y.Ad*:^2Eh(K8[,O=b&J7/RB+N<3VF\
)L9]-P>c }uG%I6Y(K8C,O=G&J7Z+N<a)9]1Dg!}fG/g!}t20k!}w20k!}tP0k!}wP0k zz&%I6Y\
*M:^2UEh(K8[,O=b4WGj&J7Z/RBe!}e&6, ztE%I6YAd*M:^2U(K8[Cf,O=G!}fE/g!}t00k!}w0\
0k!}tN0k!}wN0k!zt*,L }uH%I6Y(K8C,O=G&J7Z+N<a)9]1Dg!}%3.B",
"%%%%%k99j/8,,8bFD8,,%&%%(%8,%%!}t0ED=y!}w0ED0k!}tNED0k!}wNED0k }t%*D%I6Y.Q(\
8C&7/+<3)L9]1TDg!jw%*D/g vu%*D%I6Y.QAd*M:^(K80SC,O=b zzD*D%I6Y.Q*M:^2U(K8[0S\
,=b4&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk zuD*D%I6Y.Q*M:^Eh(K8[0S,O=G }h)*D%I6Y.Q\
(8C&J/R+N3V)L1T-P5X!jn)*D.c vde*D(K8[0SCf,O=b&J7Z zzG*D.Q*M:^2U(K8[0S,=b4&J7\
Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk zuG*D%I6Y.Q*M:^Eh(K8[0S,O=G }t&*D%I6YAd*M:^Eh(\
80C&7/B)L9]1TDg vu&*D%I6Y.QAd*M:^2UEh(K8[,O=4WG!zzE*D0k!z{E*D0k }t%3D%I6Y.Q(\
8C&7/+<3)L9]1TDg!jw%3D/g vu%3D%I6Y.QAd*M:^(K80SC,O=b }h)3D%I6Y.Q(8C&J/R+N3V)\
L1T-P5X!jn)3D.c!vc)3D.E }t&3D%I6YAd*M:^Eh(80C&7/B)L9]1TDg vu&3D%I6Y.QAd*M:^2\
UEh(K8[,O=4WG!}t%%/.p!}w%%/0d",
"%%%%%k99j/8,,8bDD%%%%&%%%%%)%%!{P%=]!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}xD0k!}t\
/0k!}w/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}h).p!}n)/g!}c)/,",
"%%%%%k99j/8,,8bFD%%%%&%%%%%)%%!}u)=s!}x)0k!}tG0k!}wG0k!}uG0k!}xG0k!}t20k!}w\
20k!}u20k!}x20k!}tP0k!}wP0k!}uP0k!}xP0k!}t&0M!}u&0k!}*&.B",
"%%%%%k99j/8,,8bED%%%%&%%%%%)%%!}x%=y!}tD0k!}wD0k!}uD0k!}xD0k!}t/0k!}w/0k!}u\
/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}:)5O!}u)5P!}x)0k!}tG/r",
"%%%%%k99j/8,,8bFD8%%%&%%%%%)%%!}kH%=c!}wH%0k!}uH%0k!}xH%0k!}t3%0k!}w3%0k!}u\
3%0k!}x3%0k!}tQ%0k!}wQ%0k!}uQ%0k!}xQ%0k!}t%D.p!}w%D0k!}tDD0k!}wDD0k!}cDD/T",
"%%%%%k99j/8,,8bDD/%%%&%%%%%)%%!}uD>&!}xD0k!}t/0k!}w/0k!}u/0k!}x/0k!}tM0k!}w\
M0k!}uM0k!}xM0k!}h).p!}n)/g!}tG0k!}wG0k!}uG0k!}xG0k!}t20R",
"%%%%%k99j/8,,8bFD/%%%&%%%%%)%%!}M2=a!}w20k!}u20k!}x20k!}tP0k!}wP0k!}uP0k!}x\
P0k!}t&0M!}tE0k!}wE0k!}uE0k!}xE0k!}t00k!}w00k!}u00k!}x00D",
"%%%%%k99j/8,,8bED/%%%&%%%%%)%%!}o/=x!}tM0k!}wM0k!}uM0k!}xM0k!}8e5O!}tG5P!}w\
G0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x20k!}tP0k!}wP0k!}uP0k!t*P+H",
"%%%%%k99j/8,,8bFD8,%%&%%%%%)%%!}xQD=d!}t%/.p!}w%/0k!}u%/0k!}x%/0k!}t//0k!}w\
//0k!}u//0k!}x//0k!}tM/0k!}wM/0k!}uM/0k!}xM/0k!}h)/.p!}n)//g!}u)/0k!}x)/0D",
"%%%%%k99j/8,,8bFD%)%%&%%%%%)%%!}o)=x!}t20k!}w20k!}u20k!}x20k!}tP0k!}wP0k!}u\
P0k!}xP0k!}t&0M!}u&0k!}x&0k!}t00k!}w00k!}u00k!}x00k!}tN/r",
"%%%%%k99j/8,,8bFD8)%%&%%%%%)%%!}kN%=c!}wN%0k!}uN%0k!}xN%0k!}:*%5O!}u*%5P!}x\
*%0k!}t3%0k!}w3%0k!}u3%0k!}x3%0k!}tQ%0k!}wQ%0k!}uQ%0k!}xQ%0k!}t%D.p!}w%D0k!}\
%/D.B",
"%%%%%k99j/8,,8bDD/)%%&%%%%%)%%!}t/=y!}w/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}x\
M0k!}h).p!}n)/g!}t20k!}w20k!}u20k!}x20k!}tP0k!}wP0k!}uP/r",
"%%%%%k99j/8,,8bFD/)%%&%%%%%)%%!}lP=c!}xP0k!}t&0M!}t00k!}w00k!}u00k!}x00k!}t\
N0k!}wN0k!}uN0k!}xN0k!}8=5O!}t35P!}w30k!}u30k!}x30k!}tQ0k!})Q.B",
"%%%%%k99j/8,,8bFD8,,%&%%%%%)%%!}wQM=y!}uQM0k!}xQM0k!}t%).p!}w%)0k!}u%)0k!}x\
%)0k!}tD)0k!}wD)0k!}uD)0k!}xD)0k!}h)).p!}n))/g!}u))0k!}x))0k!}tG)0k!}wG)0R",
"%%%%%k99j/8,,%bFD8%)%&%%%%%)%%!}PM=a!}uM0k!}xM0k!}t)0M!}u)0k!}x)0k!}tG0k!}w\
G0k!}uG0k!}xG0k!}:25O!}u25P!}x20k!}tP0k!}wP0k!}uP0k!}xP0k!}8&/T",
"%%%%%k99j/8,,%bFD/%)%&%%%%%)%%!}k%=x!}w%0k!}tD0k!}wD0k!}uD0k!}xD0k!}h/.p!}n\
//g!}tM0k!}wM0k!}uM0k!}xM0k!}t)0M!}tG0k!}wG0k!}uG0k!}xG0k }8n(K8[0SCf,O=b4WG\
j&J7",
"%%%%%k99j/8,,%bFD8,)%&%%%%%)%%!}tQ%=d!}wQ%0k!}uQ%0k!}xQ%0k!}t%D.p!}w%D0k!}u\
%D0k!}x%D0k!}h/D.p!}n/D/g!}u/D0k!}x/D0k!}t)D0M!}u)D0k!}x)D0k!}:2D5O!}u2D5P!}\
x2D0D",
"%%%%%kv9j/8,,8bFD8,,%&%b%%%,%%!i{MNG=x!i}%*G.p!i}D*G0k!izbHG.p!i{DHG/g!i}%3\
G0M!iu%QG.c qzb%%%6Y*:^(8[0Cf,=b&J7Z+N<a)L91Dg-P>5Hk q}/%%%6YA*:^E(K,O&J7+N<\
3)-!qzM%%,{ qhw%%%I6YAd*M:^2UEh(K8[0SCf,O=b4WGj&J7ZB+N3V qjn%%(K8[C,O4W&J7Z/\
B qzP%%*M:^2E(K0S,O4W!q}&%%9j q}*%%6YAd*M:^2UEh(K8[0SCf=bGj7ZBe+N<a3VFi)L9]1\
TDg>cHk qz8/%*M:(8[0,=b+N)9]D->cH 5{//%.*M^2Uh qww/%%6Y.Ad(8[0SC,=b4WG&7Z/B \
qf2/%%6Y.A qm-/%%I6Y.QAd*M:^2UEh8[0SCf=b4WGj qz,2%*M:8[,=b9]Dg ngw2%*M:^(8[0\
Cf qm-2%%I6Y.QAd*M:^2UEh8[Cf=bGj qz8&%6Y:^8[,7ZBe9] nj:&%,4&J7Z/RBe+N<a3VFi \
n}*&%.QAd*M:^0SCf,O=b ny80%%I.Q(K8[,= n>AbD%I6Y.A*M:^2E(K0S,O4W7Z<a qz8%/%6Y\
*M:(8[0Cf,O=&7ZB+N<3)L-P q{/%/%I6.*:E(,O!qzM%/,{!qhw%/0- qzn%/*M:^2E(K0S,O4W\
&J7Z/B)L1T qiP%/%I6Y.A*M2U q}&%/%I6Y.QAd*M:^2UEhK8[0SCf,O=b4WGjJ7Z/RBe+N<a3V\
Fi9]1TDg-P>c5XHk!q}*%/0k qz8//%I6*:^(8[0Cf,O=&J+N)",
"%%%%%kV9j/8,,8%FD8,%%&%D%%%%%% }u)%8[C,O=4&+N)9D-P>5!}f)%*x }hG%%I6Y*M:^(8[\
0SC,O=4Gj&J7Z+N<a)9]1Dg-P>5XH }iG%%I.Q*M2U(K8[0C,O=b4G&J+N)9]1D-P>5H }oG%%I*\
M(8[0C,O=4G }t2%%I.QAd*M:^2UEh(0SCf,O=b4WGj&/RBe+N<a3VFi1TDg-P>c5XHk!}tP%0k \
}bc%%6Y*M:(8[0Cf,O=&7Z/RB+N<3Fi)L9]-P>c zjE%(K8[0SCf,O=b4WGj&J7Z/RBe+N<a3VFi\
)9]1TD-P>c zoE%%6Y.QA*M:^ }t0%%I6Y*M:^2UEh(8[,O=b4WGj&7Z+N<a3VFi9]-P>c5XHk!}\
tN%0k }bf%%I6*:^(8[0Cf,O=&J7Z/RBe)L9]1TDg }eH%%I6Y*M:^(8[0Cf,O=4WG!z{H%.k }t\
3%%I*M:^2UEhK,O=b4WGjJ+N<a3VFi-P>c5XHk!}tQ%0k }d%D%I6*:^(8[0Cf,O=4WG&J7Z)9]D\
g z{%D(8[,=b4&J7Z/RBe+N<a3VFi ztkD%I6Y.QAd*M:^2Eh(K8[0Cf,O=bGj&J7Z/RBe!}tMD6\
. }d)D%6Y*M:(8[0Cf,O=4WG&7ZBe)L9] z{)D(K8C,O=&J7Z/RBe+N<a3VFi ztnD%I6Y.Q*M:^\
2(K8[0,O=b&J7Z/RBe!}tPD6. ztlD.QAdUEhSCfGj&J7Z/RBe!}tND6. ztoD.QUS&J7Z/RBe }\
bQD*M:^2UEh(K8[0",
"%%%%%kV9j/8,,8bFD8,,%c%b(%8%%%!}tNMD=H }t%)D%6.A*:(8[0Cf,O=&J7Z/RBe+N<a)91D\
-> v{%)D%I6Y.QAd*:^2UE(8[0Cf,=4WGj&J7Z/RBe)L9]1TDg-P>c5XHk!zzD)D0k!z{D)D0k }\
d))D%6.A*:(8[0Cf,O=&J7Z+N<a)9]-P> v.e)D,O=b4WGj&J7Z!zzG)D76!z{G)D0k }t%2D%6*\
:2E(K8[0SCf,O=b&7Z+N<3VF)91D-> v{%2D%6Y.QA*M:^2UEh(K8[0C,O=4WG&J7Z/RBe)L9]1T\
Dg-P>c5XHk }k)2D%6Y*M:2UE(80C,= vi)2D%6Y.QA*M:^2UEh(K8[0SCf }bb%/%6Y*:^(8[0C\
f,=b&J7ZB)L1T zzD%/(K8[C,O4W&J7Z/B }eD%/*:2UEh(K0S,O4W ziD%/%I6YAd*M:^2UEh(K\
8[0SCf,O=b4WGj }tM%/6YAd*M:^2UEh(K8[0SCf=bGj7ZBe+N<a3VFi)L9]1TDg>cHk }bc%/*M\
:(8[0,=b)9]1D }]E%/(8[0C&J7Z/B+<3VFi zEE%/%6Y.Ad {8N%/6Y.QAd:^2UEh }bcD/*M:8\
[,=b9Dg qaED/.Ad*M:^(K8[!r8ND/-b vbt//6YAd:^2Dg stM//Ad*M:^0SCf,O=b mV(A/,O=\
b&J7Z/B mXh)/(K0S,O4W7Z }h%%)%6Y*:(8[0Cf,=4G&J7Z+<)L91Dg->5H }u%%)%6YA*:(K,&\
J7+<3)- }f%%)%I6Y.A*:2E(K0S,4 }t/%)6YAd*:2E8[Cf,=4G7ZBe+<3F9]Dg->5H }d&%)*:(\
8[0,=4+)9]D-> Cl&%).*M^2Uh B89b)*M:^2UEh(K }b9D)8[,=4+<3F!B/0D)+j }d%/)6:^8[\
Cf,47Z9] qv8/),4&J7Z/RBe mX&k)%I6*M2(K8 mX,))%I6.A*M:2E8= }h%&)%6Y*:(8[0Cf,=\
4G&J7Z+<",
Concatenation(
"%%%%%kV9j/8,%8bFD8,,%c%b(%/%%% }G%)%%I6.Ad*:2E }i%)%%6YA*:(K,&J7Z/B+<3F)L1T\
-5 }tD)%6YAd*:2E8[Cf,=4G7ZBe+<3F9]Dg->5H }d))%*:(8[0,=4+)9]D-> B8g)%*M:^2UEh\
(K }bf)%8[,=4+<3F!B/H)%+j }d%G%6:^8[Cf,47Z9] sbhG%(K8[,O=b+N3 mF+G%.Q*M: mX8\
2%%I6.A*M:8= }h%&%%I6Y*:(K8[0SCf,=4G&J7Z/RBe+<3F)L9]1TDg->5H }u%&%%I6Y.A*:(K\
0S,&J7/B+<)L-5 }tD&%%I6Y.QAd*:2E(K8[0SCf,=4G&J7Z/Be+<3F)L9]1TDg->5H }uD&%%I6\
Y.QAd*:2E(K8[Cf,=4G7Z/RBe+<3F)L9]1Dg->5H }d)&%%I6Y*:(K8[0S,=G&J/R+)L9]1D-> }\
l)&%%I*2(8[0C,= }tG&%%I6Y.Q*:2E(K8[0S,=4G&J7Z/R+<3FL9]1T->5H }uG&%%IAd*:2E(K\
8[0S,=4G&JRBe+<3F9]1T->5H!}e&&%.. }tE&%6Y.Q*:2E8[0S,=4G7ZR+<3F9]1T->5H }uE&%\
%IAd*:2E8[,=4GBe+<3F9]T->5H }bf&%%I6Y*:(K8[0S,=G&J+<3F)L->5H }kH&%%I*:2E(,=4\
G }uH&%*:2E(K,=4G/+<3F->5H }h%E%%6*M:^(K8[0S,=G&J/R+N3V)L1T-P5X tvbE%(K8[0SC\
f,=b4Gj&J7Z zdDE%.QAd*:^2UEh(K8[0Cf=b4WGj }d)E%%6*M:^(K8[0SCf,=4G&J7Z)L9] tv\
eE%,=b4Gj&J zdGE%.Ad*M2UEh8[0S,O4Gj }h&E%%6*M:^(K8[0S,=G&J/R+N3V)L1T-P5X zdK\
E%%IAd*Eh8[0Gj/3V5 }t%0%%6A*:2(K8[0S,=G&J7ZBe+<3)91->H jw%0%%I6Y.A*M:^2E(K8",
"[0C,O=b4G vu%0%%I6Y.A*M:^2E(K8[0C,O=b4G }t/0%%6A*:2(K8[0S,=G&J7ZBe+<3)91->H\
 jw/0%%I6Y.A*M:^2E(K8[0C,O=b4G vc:0%(K8[0C,O=b4G&J7Z/B+N<a3F)L9]1D-P>c5H }t%\
N%%6.*:E(K8[0S,O=bGj&J7Z/R+N<aFi)91->H!jw%N%/g vu(N%%I6Y.QAd*M:^2UEh(80SC,=b\
4G)91TD->c5H t&%%D%6Y" ),
"%%%%%kt:}/8,,8bFD8,,%&%%(%8%%% sXe%*Ad*:(K8[,=&J7+<)- sXe)**:(8[Cf,=+)9D-> \
qXe,H6YAd:^2U8=<aFi> nXeA3.QA2EC&J79 j>b%%%6Y.Ad(8[0Cf,=b4Gj&7Z/Be)L91TD-P>5\
XH!j>k%%-z j>e%%%I6YAd(K8[Cf,O=bGj&J7B)L9]Dg-P>cHk!j>n%%-z!j>c%%-z!j>l%%-z!j\
>f%%-z!j>o%%-z!j>bD%0k!j>kD%0k!j>eD%0k!j>nD%0k j>b)%6Y.(K80S,O=4W&7Z/)9]1->c\
5 j>e)%%I6YAd(K8[Cf,O=bGj&J7B)L9D-P>H j+u)%%I6Y.Q*M:^2UEh(8[0,O=b4WGj&J7Z/RB\
e+N<a3VFi j>l)%,O=b4WGj&J7Z/RBe)L9]1TDg-P>c5XHk j+f)%%I6YAd*M:^2UEh(K8C,O=b4\
WGj!j<tG%0M!j>kG%5P!j<eG%/g j>b*%6Y.80S,O=4W&7Z/)9]1->c5 j+c*%%I6Y.Q*M:^2UEh\
(8[0,O=b4",
"%%%%%k88s/8,,8%FD8,,%&%%%%%%%% zzH%WGj&J7Z/RBe+N<a3VFi }wH%,O=b4WGj&J7Z/RBe\
)L9]1TDg-P>c5XHk zuH%%I6YAd*M:^2UEh(K8C,O=b4WGj!}A3%0M!}w3%5P!}93%/g }t%D6Y.\
Ad8[0Cf=b4Gj&7Z/Be)L91TD-P>5XH!}w%D-z }u%D%I6YAd(K8[Cf,O=bGj&J7B)L9]Dg-P>cHk\
!}x%D-z!}t/D0k!}w/D0k!}u/D0k!}x/D0k }t)D6Y80S=4W&7Z/)9]1->c5 }u)D%I6YAd(K8[C\
f,O=bGj&J7B)L9D-P>H!}A2D0M!}w2D5P!}92D/g }t*D6Y8=4W&7Z/)9]1->c5!}A3D0M!}w3D5\
P!}93D/g }t%/6YAd^Eh8C=G&J7Z/RBe+N<a3VFi)91D->5H!}e%/.q",
"%%%%%k88s/8,,%bFD8%,%c%%%%%%%% }w%D80C,=4G&J7Z/RBe+N<a3VFi)91D->5H }u%D%I6Y\
Ad*M:^Eh(8C,=G&J7Z/RBe+N<a3VFi)91D->5H!}x%D.w }tDD%I6Y.QAd(80C,=4G&J7Z/RBe+N\
<a3VFi)91D->5H!}wDD.w }uDD%I6YAd*M:^Eh(80C&J7Z/RBe+N<a3VFi)91D->5H!}xDD.w }h\
/DYdh8C=G&J7Z/RBe+N<a3VFi)91D->5H!}n/D.t }i/D%I6YAd*M:^Eh(8C,=G&J7Z/RBe+N<a3\
VFi)91D->5H!}o/D.t }hMD%I6Y.QAd(80C,=4G&J7Z/RBe+N<a3VFi)91D->5H!}nMD.t }iMD%\
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Concatenation(
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Concatenation(
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Concatenation(
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Concatenation(
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Concatenation(
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Concatenation(
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