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

SMALL_GROUP_LIB[ 512 ][ 30 ] := [
"%%%%%k8Vs09,,8b(D/%)%E%%&%/%%%!{NP-b!}xP0k!}t&0k!}w&0k!}u&0k!}x&0k!}tE0k!}w\
E0k!}uE0k!}xE0k!}t00k!}w00k!}u00k!}x00k!}tN0k!}wN0k!}cN/g",
"%%%%%k8Vs09,,8b&D/%)%E%%&%/%%%!}lM/g!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}tG0k!}w\
G0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x20k!}tP0k!}wP0k!z&P-b",
"%%%%%k8Vs09,,8b(D8,)%E%%&%/%%%!}uQD6.!}xQD0k!}t%/0k!}w%/0k!}u%/0k!}x%/0k!}t\
D/0k!}wD/0k!}uD/0k!}xD/0k!}t//0k!}w//0k!}u//0k!}x//0k!}tM/0k!}wM/0M",
"%%%%%k8Vs09,,8b%D%))%E%%&%/%%%!}PM.c!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}t\
G0k!}wG0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x20k!}tP0k!}eP/I",
"%%%%%k8Vs09,,8b(D%))%E%%&%/%%%!}wP6Q!}uP0k!}xP0k!}t&0k!}w&0k!}u&0k!}x&0k!}t\
E0k!}wE0k!}uE0k!}xE0k!}t00k!}w00k!}u00k!}x00k!}tN0k",
"%%%%%k8Vs09,,8b&D%))%E%%&%/%%%!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}t\
G0k!}wG0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x20k!}tP09",
"%%%%%k8Vs09,,8b(D8))%E%%&%/%%%!}kQ%6,!}wQ%0k!}uQ%0k!}xQ%0k!}t%D0k!}w%D0k!}u\
%D0k!}x%D0k!}tDD0k!}wDD0k!}uDD0k!}xDD0k!}t/D0k!}w/D0k!}u/D0k!}x/D0k!}%MD.c",
"%%%%%k8Vs09,,8b%D/))%E%%&%/%%%!}tM5P!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}x\
)0k!}tG0k!}wG0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x20^",
"%%%%%k8Vs09,,8b(D/))%E%%&%/%%%!{Q2-b!}tP0k!}wP0k!}uP0k!}xP0k!}t&0k!}w&0k!}u\
&0k!}x&0k!}tE0k!}wE0k!}uE0k!}xE0k!}t00k!}w00k!}u00k!}f0/g",
"%%%%%k8Vs09,,8b&D/))%E%%&%/%%%!}o//g!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u\
)0k!}x)0k!}tG0k!}wG0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!z*2-b",
"%%%%%k8Vs09,,8b(D8,,%c%%&%8,%%!}x3QD6.!}tQQD0k!}wQQD0k!}uQQD0k!}xQQD0k!}t%%\
/0k!}w%%/0k!}u%%/0k!}x%%/0k!}tD%/2&!}wD%/0k!}uD%/0k!}xD%/0k!}t/%/2&!}w/%/2&!\
}u/%/0[",
"%%%%%k8Vs09,,8b%D%%%%&%%&%%)%%!}N/:L!}x/0k!}tM2&!}wM2&!}uM2&!}xM0k!}t)2&!}w\
)2&!}u)2&!}x)2&!}tG1w!}wG2&!}uG2&!}xG2&!}t21w!}w21w!}u22&",
"%%%%%k8Vs09,,8b(D%%%%&%%&%%)%%!}x22&!}tP1w!}wP1w!}uP1w!}xP2&!}t&1w!}w&1w!}u\
&1w!}x&1w!}tE1x!}wE1w!}uE1w!}xE1w!}t01x!}w01x!}u01w }x0%I6Y.QAd*M:^2UEh(K8[C\
f,O=b4WGj&J7Z/RBe+N<a",
"%%%%%k8Vs09,,8b&D%%%%&%%&%%)%% }o/2UEh(K8[Cf,O=b4WGj!}tM1x!}wM1x!}uM1x!}xM1\
w!}t)1x!}w)1x!}u)1x!}x)1x!}tG1t!}wG1x!}uG1x!}xG1x!}t21t!}w21t!}u21x!}x21x!}t\
P1t b)P%I",
"%%%%%k8Vs09,,8b(D8%%%&%%&%%)%% }wQ%6Y.QAd*M:^2UEh(K8[Cf,O=b4W&J7Z/RBe+N<a3V\
Fi)L9]Dg-P>c5X!}uQ%1t!}xQ%1x!}t%D1t!}w%D1t!}u%D1t!}x%D1t!}tDD-1!}wDD1t!}uDD1\
t!}xDD1t!}t/D-1!}w/D-1!}u/D1t!}x/D1t!}tMD-1!}wMD-1!}uMD-1!t*MD+j",
"%%%%%k8Vs09,,8b(D/%%%&%%&%%)%% }xM.QAd*M:^2UEh(K8[Cf,O=b4W&J7Z/RBe+N<a3VFi)\
L9]Dg-P>c5X!}t)-1!}w)-1!}u)-1!}x)-1!}tG3t!}wG-1!}uG-1!}xG-1!}t23t!}w23t!}u2-\
1!}x2-1!}tP3t!}wP3t!}uP3t!}xP-1!}t&3t }w&%I6YAd*M:^2UEh(K8[Cf,O=b4W&J7ZBe+N<\
a3VFi)L9]",
"%%%%%k8Vs09,,8b&D/%%%&%%&%%)%% }P%Ad*M:^2U!}u%3t!}x%3t!}tD3p!}wD3t!}uD3t!}x\
D3t!}t/3p!}w/3p!}u/3t!}x/3t!}tM3p!}wM3p!}uM3p!}xM3t!}t)3p!}w)3p!}u)3p!}x)3p!\
}tG3m }wG%I6YAd*M:^2UE(K8[Cf,O=b4W&J7",
"%%%%%k8Vs09,,8b(D8,%%&%%&%%)%% }nHDYAd*M:^2UE(K8[Cf,O=b4W!}uHD3p!}xHD3p!}t3\
D3m!}w3D3m!}u3D3p!}x3D3p!}tQD3m!}wQD3m!}uQD3m!}xQD3p!}t%/3m!}w%/3m!}u%/3m!}x\
%/3m!}tD/3n!}wD/3m!}uD/3m!}xD/3m!}t//3n!}w//3n }c//%I6YAd*M:^2U(K",
"%%%%%k8Vs09,,8b(D%)%%&%%&%%)%% }u/8[Cf,O=b4W&J7ZBe+N<a3V)L9]Dg-P>c5X!}x/3m!\
}tM3n!}wM3n!}uM3n!}xM3m!}t)3n!}w)3n!}u)3n!}x)3n!}tG3j!}wG3n!}uG3n!}xG3n!}t23\
j!}w23j!}u23n!}x23n!}tP3j!}wP3j!}uP3j!}xP3n }%&%I6YAd*M",
"%%%%%k8Vs09,,8b&D%)%%&%%&%%)%% }t%:^2U(K8[Cf,O=b&J7ZBe+N<a3V)L9]Dg-P>c!}w%3\
j!}u%3j!}x%3j!}tD3o!}wD3j!}uD3j!}xD3j!}t/3o!}w/3o!}u/3j!}x/3j!}tM3o!}wM3o!}u\
M3o!}xM3j!}t)3o!}w)3o!}u)3o!}x)3o!}tG3h!}wG3o!}uG3o }xG%I6YAd*M:^2U(K8[f,O=b\
&J7",
"%%%%%k8Vs09,,8b(D8)%%&%%&%%)%% }oH%YAd*M:^2U(K8[f,O=b!}t3%3h!}w3%3h!}u3%3o!\
}x3%3o!}tQ%3h!}wQ%3h!}uQ%3h!}xQ%3o!}t%D3h!}w%D3h!}u%D3h!}x%D3h!}tDD3g!}wDD3h\
!}uDD3h!}xDD3h!}t/D3g!}w/D3g!}u/D3h!}x/D3h!}tMD3g!}wMD3g!}uMD3g!}xMD3h }t)D%\
I6YAd*M:^2(K8[,O=b&J7ZBe+N<",
"%%%%%k8Vs09,,8b(D/)%%&%%&%%)%% }k)^2(K8[,O=b!}w)3g!}u)3g!}x)3g!}tG3f!}wG3g!\
}uG3g!}xG3g!}t23f!}w23f!}u23g!}x23g!}tP3f!}wP3f!}uP3f!}xP3g!}t&3f!}w&3f!}u&3\
f!}x&3f!}tE3]!}wE3f!}uE3f!}xE3f!}t03]!}w03]!}u03f!}x03f }%N%I6YA*",
"%%%%%k8Vs09,,8b(D8,,%&%%&%%)%% }tNMM:^(K8[,O=b&J7ZB+N<a)L9]-P>c!}wNM3]!}uNM\
3]!}xNM3f!}t*M3]!}w*M3]!}u*M3]!}x*M3]!vzHM/u }wHMA*M:^(K8[,O=b&J7ZB+N<a)L9]-\
P>c!}uHM3]!}xHM3]!vz3M0k!}u3M3]!}x3M3]!vzQM0k!v{QM/u }xQMA*M:^(K8[,O=b&J7ZB+\
N<a)L9]-P>c!vz%)0k!v{%)0k vzD)%I6Y.QAd*:^2UEh(K8[0SCf,=b4WGj&J7Z/RBe+N<a3VFi\
)L9]1TDg-P>c5XHk!v{D)0k!vz/).8!vu/)/>",
"%%%%%k8Ds09,,8b(D%%)%&%%&%%)%%!}wD:W!}uD.8 }xD%I6Y.QAd*:^2UEh(K8[0SCf,=b4WG\
j&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk!}t/.8!}w/.8 }u/%I6Y.QAd:^2UEh(K8[0SCf=b4WG\
j&J7Z/RBe+<a3VFi)L9]1TDg->c5XHk!}x/.8!}tM3G!}wM.8!}uM3G }xM%I6Y.QAd:^2UEh(K8\
[0SCf=b4WGj&J7Z/RBe+<a3VFi)L9]1TDg->c5XHk!}t)3G!}w)3G }u)%I6Y.QAd:^2UE(K8[0S\
Cf=b4WG&J7Z/RBe<a3VFi)L9]1TDg>c5XHk!}x)3G }tG%I6Y.QAd:^2UE(K8[0SCf=b4WG&J7Z/\
RBe<a3VF)L9]1TDg>c5XH!}wG3G }uG%I6Y.QAd:^2UE(K8[0SCf=b4WG&J7Z/RBe<a3V",
"%%%%%k8Ds09,,8b(D8%)%&%%&%%)%% }lGE(K8[0SCf=b4WG }xG%I6Y.QAd:^2UE(K8[0SCf=b\
4WG&J7Z/RBe<a3VFi)L9]1TDg>c5XHk }t2%I6Y.QAd:^2UE(K8[0SCf=b4WG&J7Z/RBe<a3VF)L\
9]1TDg>c5XH }w2%I6Y.QAd:^2UE(K8[0SCf=b4WG&J7Z/RBe<a3VF)L9]1TDg>c5XH }u2%I6Y.\
QAd:^2U(K8[0SCf=b4W&J7Z/RBe<a3VF)L9]1TDg>c5XH }x2%I6Y.QAd:^2UE(K8[0SCf=b4WG&\
J7Z/RBe<a3VF)L9]1TDg>c5XH!}tP3D }wP%I6Y.QAd:^2UE(K8[0SCf=b4WG&J7Z/RBe<a3VF)L\
9]1TDg>c5XH!}uP3D }xP%I6Y.QAd:^2U(K8[0SCf=b4W&J7Z/RBe<a3VF)L9]1TDg>c5XH!}t&3\
D!}w&3D }u&I6Y.QAd:^2UK8[0SCf=b4W&J7Z/RBe<a3V)L9]1TDg>c5X!}x&3D!}tE<2!}wE3D!\
}uE<2 }xEI6Y.QAd:^2UK8[0SCf=b4W&J7Z/RBe<a3V)L9]1TDg>c5X!}t0<2!}w0<2 }u06Y.QA\
d:^2U8[0SCf=b4WJ7Z/RBe<a3VL9]1TDg>c5X }x0I6Y.QAd:^2UK8[0SCf=b4WJ7Z/",
"%%%%%k8Ds09,,8b(D8,)%&%%&%%)%% }o0%QAd:^2UK8[0SCf=b4W!}tN%9Z!}wN%<2!}uN%9Z \
}xN%6Y.QAd:^2U8[0SCf=b4WJ7Z/RBe<a3VL9]1TDg>c5X!}t*%9Z!}w*%9Z }u*%6Y.Qd:^2U8[\
0Sf=b4W7Z/RBe<a3V9]1TDg>c5X!}x*%9Z!}tH%9[!}wH%9Z!}uH%9[ }xH%6Y.Qd:^2U8[0Sf=b\
4W7Z/RBe<a3V9]1TDg>c5X!}t3%9[!}w3%9[ }u3%6Y.Q:^2U8[0S=b4W7Z/Re<a3V9]1Tg>c5X!\
}x3%9[!}tQ%9A!}wQ%9[!}uQ%9A }xQ%6Y.Q:^2U8[0S=b4W7Z/Re<a3V9]1Tg>c5X!}t%D9A!}w\
%D9A }u%D6Y.Q:^28[0S=b47Z/R<a3V9]1T>c5X!}x%D9A }tDD6Y.Q:^28[0S=b47Z/R<a39]1T\
>c5!}wDD9A }uDD6Y.Q:^28[0S=b47Z/R<a39]1T>c5 }xDD6Y.Q:^28[0S=b47Z/R",
"%%%%%k8Vs09,,8b(D8,,%c%%&%%)%% vxM2:^2U8[0S=b4W vz)26Y.Q:^28[0S=b47Z/R<a39]\
1T>c5 v{)26Y.Q:^28[0S=b47Z/R<a39]1T>c5 vzG26Y.Q:^8[0S=b7Z/R<a39]1T>c5 v{G26Y\
.Q:^28[0S=b47Z/R<a39]1T>c5!vz229B v{226Y.Q:^28[0S=b47Z/R<a39]1T>c5!vzP29B v{\
P26Y.Q:^8[0S=b7Z/R<a39]1T>c5!vz&29B!v{&29B vzE26Y.Q:8[0S=7Z/R<a9]1T>c!v{E29B\
 vz026Y.Q:8[0S=7Z/R<9]1T>!v{029B vzN26Y.Q:8[0S=7Z/R<9]1T> v{N26Y.Q:8[0S=7Z/R\
<a9]1T>c vz*26Y.Q:8[0S=7Z/R<9]1T> v{*26Y.Q:8[0S=7Z/R<9]1T> vzH26Y.Q8[0S7Z/R<\
9]1T> v{H26Y.Q:8[0S=7Z/R<9]1T> vC326Y.Q:^2U8[0S=b4W7Z/R v{32:8[0S=7Z/R<9]1T>\
 vCQ26Y.Q:^2U8[0S=b4W7Z/R<a3V9]1T vxQ2:8[0S=!vC%P9A vCDP6YQ:^U8[0S=b4W7Z/R<a\
3V9]1T>c5X vC/P6YQ:^U8[S=bW7Z/R<a3V9]1T>c5X vCMP6YQ:^U8[S=bW7ZR<aV9]1T>c5X v\
C)P6YQ:^U8[S=bW7ZR<aV9]T>cX vCGP6Y:^8[S=bW7ZR<aV9]T>cX vC2P6Y:^8[=b7ZR<aV9]T\
>cX vCPP6Y:^8[=b7Z<a9]T>cX kCuP%I6Y.QAd*M:^2UEhK[0SCf,O=b4WGjJZRe+N<a3VFiL]T\
gPc5XHk MCxP%I6Y.QAd:^2UEh0SCfGj!}t%&0k!}w%&0k!}u%&0M",
"%%%%%k8Vs09,,8b%D%%%%E%%&%%)%%!}N%.c!}x%0k!}tD/<!}wD0k!}uD0k!}xD0k!}t//<!}w\
//<!}u/0k!}x/0k!}tM/<!}wM/<!}uM/<!}xM0k!}t)/<!}w)/< }u)%I6Y.QAd*M:^2UEh(K8[0\
Cf,O=b4WGj&J7Z/RBe+",
"%%%%%k8Vs09,,8b(D%%%%E%%&%%)%% }l)M:^2UEh(K8[0Cf,O=b4WGj!}x)/<!}tG1w!}wG/<!\
}uG/<!}xG/<!}t21w!}w21w!}u2/<!}x2/<!}tP1w!}wP1w!}uP1w!}xP/<!}t&1w!}w&1w!}u&1\
w!t*&+j",
"%%%%%k8Vs09,,8b&D%%%%E%%&%%)%% }x%.QAd*M:^2UEh(K8[Cf,O=b4WGj&J7Z/RBe+N<a3VF\
i)L9]Dg-P>c5XHk!}tD1u!}wD1w!}uD1w!}xD1w!}t/1u!}w/1u!}u/1w!}x/1w!}tM1u!}wM1u!\
}uM1u!}xM1w!}t)1u!}w)1u!}u)1u!}x)1u!t%G+j",
"%%%%%k8Vs09,,8b(D8%%%E%%&%%)%% }tH%.QAd*M:^2UEh(K8[Cf,O=b4W&J7Z/RBe+N<a3VFi\
)L9]Dg-P>c5X!}wH%1u!}uH%1u!}xH%1u!}t3%1t!}w3%1t!}u3%1u!}x3%1u!}tQ%1t!}wQ%1t!\
}uQ%1t!}xQ%1u!}t%D1t!}w%D1t!}u%D1t!}x%D1t!}tDD45 }wDD%I6Y.QAd*M:^2UEh(K8[Cf,\
O=b4W&J7Z/RBe+N<a3V",
"%%%%%k8Vs09,,8b%D/%%%E%%&%%)%% }nDEh(K8[Cf,O=b4W!}uD1t!}xD1t!}t/45!}w/45!}u\
/1t!}x/1t!}tM45!}wM45!}uM45!}xM1t!}t)45!}w)45!}u)45!}x)45!}tG3t!}wG45!}uG45!\
}xG45 z%2%I6YAd",
"%%%%%k8Vs09,,8b(D/%%%E%%&%%)%% }t2*M:^2UEh(K8[Cf,O=b4W&J7ZBe+N<a3VFi)L9]Dg-\
P>c5X!}w23t!}u245!}x245!}tP3t!}wP3t!}uP3t!}xP45!}t&3t!}w&3t!}u&3t!}x&3t!}tE3\
u!}wE3t!}uE3t!}xE3t!}t03u!}w03u!}u03t }f0%I6YAd*M:^2UEh(K8[",
"%%%%%k8Vs09,,8b&D/%%%E%%&%%)%% }x/Cf,O=b4W&J7ZBe+N<a3VFi)L9]Dg-P>c5X!}tM3u!\
}wM3u!}uM3u!}xM3t!}t)3u!}w)3u!}u)3u!}x)3u!}tG3m!}wG3u!}uG3u!}xG3u!}t23m!}w23\
m!}u23u!}x23u!}tP3m!}wP3m!}uP3m }xP%I6YAd*M:^2Uh(K8[Cf,O=b4W&",
"%%%%%k8Vs09,,8b(D8,%%E%%&%%)%% }oQDI6YAd*M:^2Uh(K8[Cf,O=b4W!}t%/3m!}w%/3m!}\
u%/3m!}x%/3m!}tD/3k!}wD/3m!}uD/3m!}xD/3m!}t//3k!}w//3k!}u//3m!}x//3m!}tM/3k!\
}wM/3k!}uM/3k!}xM/3m!}t)/3k!}w)/3k!}u)/3k!}x)/3k }tG/%I6YAd*M:^2U(K8[Cf,O=b&\
J7ZBe+N<a3V)L",
"%%%%%k8Vs09,,8b(D%)%%E%%&%%)%% }MG6YAd*M:^!}wG3k!}uG3k!}xG3k!}t23j!}w23j!}u\
23k!}x23k!}tP3j!}wP3j!}uP3j!}xP3k!}t&3j!}w&3j!}u&3j!}x&3j!}tE3i!}wE3j!}uE3j!\
}xE3j!}t03i!}w03i!}u03j }f0%I6YAd*M:^2U(K8[Cf",
"%%%%%k8Vs09,,8b(D8)%%E%%&%%)%% }x0%,O=b&J7ZBe+N<a3V)L9]Dg-P>c!}tN%3i!}wN%3i\
!}uN%3i!}xN%3j!}t*%3i!}w*%3i!}u*%3i!}x*%3i!}tH%3h!}wH%3i!}uH%3i!}xH%3i!}t3%3\
h!}w3%3h!}u3%3i!}x3%3i!}tQ%3h!}wQ%3h!}uQ%3h!}xQ%3i!}t%D3h!}w%D3h!}u%D3h }x%D\
%I6YAd*M:^2U(K8[,O=b&J7Z",
"%%%%%k8Vs09,,8b%D/)%%E%%&%%)%% }o%Ad*M:^2U(K8[,O=b!}tD3v!}wD3h!}uD3h!}xD3h!\
}t/3v!}w/3v!}u/3h!}x/3h!}tM3v!}wM3v!}uM3v!}xM3h!}t)3v!}w)3v!}u)3v!}x)3v!}tG3\
f!}wG3v!}uG3v!}xG3v!}t23f!}w23f!}u23v!}x23v!}tP3f }wP%I6YAd*M:^(K8[,O=b&J7ZB\
e+N<a)L",
"%%%%%k8Vs09,,8b(D/)%%E%%&%%)%%!vPP9E!}uP3f!}xP3v!}t&3f!}w&3f!}u&3f!}x&3f!}t\
E4F!}wE3f!}uE3f!}xE3f!}t04F!}w04F!}u03f!}x03f!}tN4F!}wN4F!}uN4F!}xN3f!}t*4F!\
}w*4F!}u*4F!}x*4F!vzH/u }wHd*M:^(K8[,O=b&J7Ze+N<a)L9]-P>c!}uH4F!}xH4F!vz30k \
}u3%I6Yd*M:^(K8[,O=b&J7Ze",
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