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

SMALL_GROUP_LIB[ 512 ][ 74 ] := [
"%%%%%kW%j/%%%%%%P))%%dhj(9A,%/!38Wib8<!38Wsb%P!38Yjb%P!38Ysb%P!38Zjb%P!38Zs\
b%P!Q8Vjb%P!Q8Vsb%P!Q8Wjb%P!Q8Wsb%P!Q8Yjb%P!Q8Ysb%P!Q8Zjb%P!Q8Zsb%P!%]8hb*F!\
%^<hb(C!%]<ib*g %^8ib%I.Q*M2U&J/+N3)L1-P56",
"%%%%%kE8&/%%%%%%P))%%dbj(&A,%/ -VyI6Y.QAd(K80SC,O=4WG!,<v&1!,Vv&1!,8y&1!,Yy\
&1!J8}%P!J9}%P!JV}%P!JW}%P!K8}%P!K9}%P!KV}%P!KW}%P!58}%P!59}%P!5V}%P!5W}%P!6\
8}%P!69v&*",
"%%%%%kE8-/%%%%%%P))%%dbd(&A,%/!1K}=G!1S}%P!1T}%P!O,}%P!O-}%P!O5}%P!O6}%P!OJ\
}%P!OK}%P!OS}%P!OT}%P!+,}%P!+-}%P!+5}%P!+6}%P!+J}%N",
"%%%%%kW%*/%%%%%%P))%%dbd(&A,%/ *0q6IY!->z%P!-Xz%P!-[z%P!J:z%P!J>z%P!JXz%P!J\
[z%P!K:z%P!K>z%P!KXz%P!K[z%P!5:z%P!5>z%P!5Xz%P!5[z%P!6:z%=",
"%%%%%kW%f/%%%%%%P))%%dbd(&A,%/!1Jy8<!1K}%P!1S}%P!1T}%P!O,}%P!O-}%P!O5}%P!O6\
}%P!OJ}%P!OK}%P!OS}%P!OT}%P!+,}%P!+-}%P!+5}%P!+6}%P!)Jv&X",
"%%%%%kW%H/%%%%%%P))%%dbd(&A,%/!-:z:U!->z%P!-Xz%P!-[z%P!J:z%P!J>z%P!JXz%P!J[\
z%P!K:z%P!K>z%P!KXz%P!K[z%P!5:z%P!5>z%P!5Xz%P!5[z%I",
"%%%%%kW%j/%,%%%%P))%%dhd(:A,%/ 3GKgV:AEIMQUY^dh!3K,gt%P!3K-gt%P!3KJgt%P!3KK\
gt%P!QJ,gt%P!QJ-gt%P!QJJgt%P!QJKgt%P!QK,gt%P!QK-gt%P!QKJgt%P!QKKgt%P!%55dt%P\
!%55mt%P!%56dt%P!%56m8&/",
"%%%%%kW%%/%)%%%%P))%%b)d(tA,%/!.Wz>8!.<z%P!.=z%P!.Yz%P!.Zz%P!L8z%P!L9z%P!LV\
z%P!LWz%P!L<z%P!L=z%P!LYz%P!LZz%P!78z%P!79z%P!7Vz%P /Wh%.6AI",
"%%%%%kW%,/%)%%%%P))%%b)d(tA,%/!1qa8:!1iC%P!1ia%P!1rC%P!1ra%P OhC%I6.QA*:^2E\
h&J7Z/RBe(K8[0SCf)9]1Dg-P>5XH OiC%I6Y*M:^&J7Z/RBe(K8[0SCf)L9]-P>c OqC%I6Y.QA\
d&7Z/Be+N<3VF(K80SC,=b4Gj)L9]1TDg OrC%I6Y.QAd&J7Z+N<a(K8[,O=b)L9]1TDg!Oha%P!\
Oia%P!+hC%P!+ha%P!+qC%P!+qa%P!+iC%P!+ia%P!+r:&/",
"%%%%%kE8)/%)%%%%P))%%b)d(tA,%/!.Yz>8!.Zz%P!L8z%P!L9z%P!LVz%P!LWz%P!L<z%P!L=\
z%P!LYz%P!LZz%P!78z%P!79z%P!7Vz%P!7Wz%P!7<z%P!7=z%P /Yh%.6AI",
"%%%%%kE8e/%)%%%%P))%%b)d(tA,%/!1rC8:!1ra%P!OhC%P!Oha%P!OqC%P!Oqa%P!OiC%P!Oi\
a%P!OrC%P!Ora%P!+h:(v!+r:(v!+hX(]!+rX(]!+h>(,!+r>(,!+h[(R!+r[(R!+iv%-!+iy%-!\
Ih:(v!Ir:(v!IhX(] IrX%6*:(80C,4IYM^K[S",
"%%%%%kW8G/%)%%%%P))%%b)d(tA,%/ ErWY.A!Fiv%-!Fj>%,!Dr>&Y!Fj[%,!Dr[&Y!1h:(v!1\
r:(v!1hX(]!1rX(]!1h>(v!1r>(v!1h[(]!1r[(]!1iv%-!1iy%-!Oh:(v!Or:(v!OhX(]!OrX(]\
!Oiv%-!Oj>%,!Mr>&Y!Oj[%,!Mr[&Y!+h:(v!+r:(v!+hX(]!+rX(]!+h>(R!+r>(R!+h[(,!+r[\
(,!+iv%-!+i>&*",
"%%%%%kW8h/%,%%b%P))%%dej(vA,%/ *O,>>RSTYZ[]defg*+,-2345:<=>EFGHMNOPUVWX^abc\
hijk!HO,8:(v!HO,Y:(v!HO,9:(]!HO,Z:(]!HO,>:%-!HO,A>%,!HM,Y>&Y!HO,B>%,!HM,Z>&Y\
!3O,8:(v!3O,Y:(v!3O,9:(]!3O,Z:(]!3O,8>(]!3O,Y>(]!3O,9>(v!3O,Z>(v!3O,>:%-!3O,\
>>%-!QO,8:(v!QO,Y:(v!QO,9:(]!QO,Z:(]!QO,>:%-!QO,A>%,!QM,Y>&Y!QO,B>%,!QM,Z>&Y\
!D+h8X*F!D+r8X(C!D+i8[*g!D+58G,o",
"%%%%%kE8%/%%%%D%P))%%dej(9A,%/ LVibM2U&J/+N3)L1-P56YAd:^Eh7ZB<aF9]D>cH!J<hb\
&1!JVhb&1!J8ib&1!JYib&1!58jb%P!58sb%P!59jb%P!59sb%P!5<jb%P!5<sb%P!5=jb%P!5=s\
b%P!S8jb%P!S8sb%P!S9jb%P!S9sb%P!S<jb%P M)qb%.6AI",
"%%%%%kE8,/%%%%D%P))%%b)j(9A,%/!Oma8:!OpC%P!Opa%P!+dC%P!+da%P!+gC%P!+ga%P!+m\
C%P!+ma%P!+pC%P!+pa%P!IdC%P!Ida%P!IgC%P!Iga%P!ImC%D",
"%%%%%kW%)/%%%%D%P))%%b)j(9A,%/!LJq:V!LKz%P!LSz%P!LTz%P!7,z%P!7-z%P!75z%P!76\
z%P!7Jz%P!7Kz%P!7Sz%P!7Tz%P!U,z%P!U-z%P!U5z%P!U6z%P!UJh&*",
"%%%%%kW%e/%%%%D%P))%%b)j(9A,%/!OmC=G!Oma%P!OpC%P!Opa%P!+dC%P!+da%P!+gC%P!+g\
a%P!+mC%P!+ma%P!+pC%P!+pa%P!IdC%P!Ida%P!IgC%P!Iga%N",
"%%%%%kW%G/%%%%D%P))%%b)j(9A,%/ H3q6IY!LJz%P!LKz%P!LSz%P!LTz%P!7,z%P!7-z%P!7\
5z%P!76z%P!7Jz%P!7Kz%P!7Sz%P!7Tz%P!U,z%P!U-z%P!U5z%P!U6z%=",
"%%%%%kW8j/%%%%D%P))%%dhj(9A,%/!NJ5[V8<!NJ6:t%P!NJ6>t%P!NJ6Xt%P!NJ6[t%P!%7,:\
8*F!%7K:8(C!%7-:V*g!%7J:V*h!%5-:8&1!%5J:8&1!%5,:V&1!%5K:V&1!)5,:t%P!)5,Xt%P!\
)5J:t%P!)5JXt%P!)6,:t%P!)6,Xt%P!)6J:t%D",
"%%%%%kE8-/%%%%D%P))%%dbd(&A,%/!1Sy:V!1T}%P!O,}%P!O-}%P!O5}%P!O6}%P!OJ}%P!OK\
}%P!OS}%P!OT}%P!+,}%P!+-}%P!+5}%P!+6}%P!+J}%P!+K}%P!+Sv&*",
"%%%%%kW%*/%%%%D%P))%%dbd(&A,%/!-Xz=G!-[z%P!J:z%P!J>z%P!JXz%P!J[z%P!K:z%P!K>\
z%P!KXz%P!K[z%P!5:z%P!5>z%P!5Xz%P!5[z%P!6:z%P!6>z%N",
"%%%%%kW%f/%%%%D%P))%%dbd(&A,%/ 0H[6IY!1S}%P!1T}%P!O,}%P!O-}%P!O5}%P!O6}%P!O\
J}%P!OK}%P!OS}%P!OT}%P!+,}%P!+-}%P!+5}%P!+6}%P!+J}%P!+K}%=",
"%%%%%kW%H/%%%%D%P))%%dbd(&A,%/!->q8<!-Xz%P!-[z%P!J:z%P!J>z%P!JXz%P!J[z%P!K:\
z%P!K>z%P!KXz%P!K[z%P!5:z%P!5>z%P!5Xz%P!5[z%P!6:z%P!0>h&X",
"%%%%%kW%j/%,%%D%P))%%dhd(vA,%/!3K-cz:U!3KJcz%P!3KKcz%P!QJ,cz%P!QJ-cz%P!QJJc\
z%P!QJKcz%P!QK,cz%P!QK-cz%P!QKJcz%P!QKKcz%P!%55bz%P!%55ez%P!%56bz%P!%56ez%P!\
%55kz%I",
"%%%%%kW%,/%)%%D%P))%%b)d(tA,%/ &i>:AEIMQUY^dh!(ia%P!(rC%P!(ra%P!FhC%P!Fha%P\
!FqC%P!Fqa%P!FiC%P!Fia%P!FrC%P!Fra%P OhC%I6.QA*:^2Eh&J7Z/RBe(K8[0SCf)9]1Dg-P\
>5XH OiC%I6Y*M:^&J7Z/RBe(K8[0SCf)L9]-P>c OqC%I6Y.QAd&7Z/Be+N<3VF(K80SC,=b4Gj\
)L9]1TDg OrC%I6Y.QAd&J7Z+N<a(K8[,O=b)L9]1TDg!Oha%P!Oia%P!)h:&X",
"%%%%%kE%)/%)%%D%P))%%b)d(tA,%/!Adt:U!Agt%P!Bdt%P!Bgt%P!Amt%P!Apt%P!Bmt%P!Bp\
t%P!]dt%P!]gt%P!^dt%P!^gt%P!]mt%P!]pt%P!^mt%P!^pt%I",
"%%%%%kE8)/%)%%D%P))%%b)d(tA,%/ IZq:AEIMQUY^dh!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%P!UYz%P!UZh&/",
"%%%%%kW8e/%)%%D%P))%%b)d(tA,%/!GyUb>8!&v,b(v!&yJb(v!&v5b(]!&ySb(]!&v]b%-!&v\
ib%,!&>Kb&Y!&vrb%,!&>Tb&Y!Ev,b(v!EyJb(v!Ev5b(]!EySb(]!Ev-b(,!EyKb(,!Ev6b(R!E\
yTb(R!Ev]b%-!Ev^b%-!0v,b(v!0yJb(v!0v5b(]!0ySb(]!0v]b%-!0vib%,!0>Kb&Y!0vrb%,!\
0>Tb&Y!Nv,b(v!NyJb(v!Nv5b(]!NySb(]!Nv-b(v!NyKb(v Nv6b%6*:(80C,4IYM",
"%%%%%kW8G/%)%%D%P))%%b)d(tA,%/ Nh[Q*M:^2E!Or[(]!Oiv%-!Oiy%-!+h:(v!+r:(v!+hX\
(]!+rX(]!+iv%-!+j>%,!)r>&Y!+j[%,!)r[&Y!Ih:(v!Ir:(v!IhX(]!IrX(]!Ih>(R!Ir>(R!I\
h[(,!Ir[(,!Iiv%-!Iiy%-!4h:(v!4r:(v!4hX(]!4rX(]!4iv%-!4j>%,!2r>&Y!4j[%,!2r[&Y\
 Rh:%6.A*2(8,=IYQ",
"%%%%%kN8h/%)%%b(P))%%b)d(tA,%/ QI8hY.A*M2U!QLYh(v!QL9h(]!QLZh(]!QL8q(]!QLYq\
(]!QL9q(v!QLZq(v!QL>h%-!QL>q%-!%78z+U %7<z%I6Y*M:^&J7Z/RBe(K8[0SCf)L9]-P>c %\
7Vz%I6Y.QAd&J7/RB+<a3Fi(K80SC,=b4Gj)L9]1TDg %7Yz%I6Y.QAd&J7Z+N<a(K8[,O=b)L9]\
1TDg!%79z%P!%7=z%P!D78z%P!D79z%P!D7Vz%P!D7Wz%P!D7<z%P!D7=z%P!D7Yz%P D/Zh%.6A\
I",
"%%%%%kW%,/%)%%%&P))%%b)d(tA,%/!Ora8:!+hC%P!+ha%P!+qC%P!+qa%P!+iC%P!+ia%P!+r\
C%P!+ra%P!IhC%P!Iha%P!IqC%P!Iqa%P!IiC%P!Iia%P!IrC%D",
"%%%%%kE8)/%)%%%&P))%%b)d(tA,%/!LYq:V!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%P!UYh&*",
"%%%%%kW8e/%)%%%&P))%%b)d(tA,%/!GyLb=G!GyUb%P!&v,b(v!&yJb(v!&v5b(]!&ySb(]!&v\
-b(v!&yKb(v!&v6b(]!&yTb(]!&v]b%-!&v^b%-!Ev,b(v!EyJb(v!Ev5b(]!EySb(]!Ev]b%-!E\
vib%,!E>Kb&Y!Evrb%,!E>Tb&Y!0v,b(v!0yJb(v!0v5b(]!0ySb(]!0v-b(,!0yKb(,!0v6b(R!\
0yTb(R!0v]b%-!0v^b%-!Nv,b(v!NyJb(v!N85b,o",
"%%%%%kW8G/%)%%%&P))%%b)d(tA,%/ OhX80C,4IYM^K[SfOW!OrX(]!Oiv%-!Oj>%,!Mr>&Y!O\
j[%,!Mr[&Y!+h:(v!+r:(v!+hX(]!+rX(]!+h>(]!+r>(]!+h[(v!+r[(v!+iv%-!+iy%-!Ih:(v\
!Ir:(v!IhX(]!IrX(]!Iiv%-!Ij>%,!Gr>&Y!Ij[%,!Gr[&Y!4h:(v!4r:(v!4hX(]!4rX(]!4h>\
(R!4r>(R!4h[(,!4r[(, 4iv%&()./016789ABCDIJKLQRSTYZ[]defg*+,-2345:<=>EFGHMNOP\
U",
"%%%%%kW8h/%)%%b&P))%%b)d(tA,%/ 3I=h:AEIMQUY^dh!3L>q%-!QL8h(v!QLYh(v!QL9h(]!\
QLZh(]!QL>h%-!QLAq%,!QFYq&Y!QLBq%,!QFZq&Y!/78z+U /7<z%I6Y*M:^&J7Z/RBe(K8[0SC\
f)L9]-P>c /7Vz%I6Y.QAd&J7/RB+<a3Fi(K80SC,=b4Gj)L9]1TDg /7Yz%I6Y.QAd&J7Z+N<a(\
K8[,O=b)L9]1TDg!/79z%P!/7=z%P!%U8z%P!%U9z%P!%UVz%P!%UWz%P!%U<z%P!%U=z%N",
"%%%%%kE8)/%)%%D&P))%%b)d(tA,%/ *3q6IY!.Yz%P!.Zz%P!L8z%P!L9z%P!LVz%P!LWz%P!L\
<z%P!L=z%P!LYz%P!LZz%P!78z%P!79z%P!7Vz%P!7Wz%P!7<z%P!7=z%=",
"%%%%%kE8e/%)%%D&P))%%b)d(tA,%/!1i[8<!1rC%P!1ra%P!OhC%P!Oha%P!OqC%P!Oqa%P!Oi\
C%P!Oia%P!OrC%P!Ora%P!+h:(v!+r:(v!+hX(]!+rX(]!+iv%-!+j>%,!)r>&Y!+j[%,!)r[&Y!\
Ih:(v!Ir:(v!IhX(] G0DA",
"%%%%%kW8G/%)%%D&P))%%b)d(tA,%/ FrX6*:(80C,4IYM^K[SfOW!Fh>(v!Fr>(v!Fh[(]!Fr[\
(]!Fiv%-!Fiy%-!1h:(v!1r:(v!1hX(]!1rX(]!1iv%-!1j>%,!/r>&Y!1j[%,!/r[&Y!Oh:(v!O\
r:(v!OhX(]!OrX(]!Oh>(,!Or>(,!Oh[(R!Or[(R!Oiv%-!Oiy%-!+h:(v!+r:(v!+hX(]!+rX(]\
!+iv%-!+j>%,!)r>&Y ),[%.6AI",
"%%%%%kW8h/%,%%b(P<)%%b)d(vA,%/ *QAwq/016789ABCD*+,-2345:<=>EFGHMNOPUVWX^abc\
hijk!*Q-nq&Y!HQAbh(v!HQBkh(v!HQAeh(]!HQBnh(]!HQAbq(]!HQBkq(]!HQAeq(v!HQBnq(v\
!HQAqh%-!HQAqq%-!3QAbh(v!3QBkh(v!3QAeh(]!3QBnh(]!3QAqh%-!3QAtq%,!3Q-kq&Y!3QA\
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"%%%%%kE%,/%%%%%%P2)%%dej(9A,%/!,8sb>8!,9jb%P!,9sb%P!,<jb%P!,<sb%P!,=jb%P!,=\
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9jb%P!59sb%P!5<jb%=",
"%%%%%kW%)/%%%%%%P2)%%b)j(9A,%/!.Jq8<!.Kz%P!.Sz%P!.Tz%P!L,z%P!L-z%P!L5z%P!L6\
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"%%%%%kW%e/%%%%%%P2)%%b)j(9A,%/!1mC:U!1ma%P!1pC%P!1pa%P!OdC%P!Oda%P!OgC%P!Og\
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"%%%%%kW%j/%%%%%%P2)%%dhj(9A,%/!38Wsb>8!38Yjb%P!38Ysb%P!38Zjb%P!38Zsb%P!Q8Vj\
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"%%%%%kE%-/%%%%%%P2)%%dbj(&A,%/!,Vv8<!,8y&1!,Yy&1!J8}%P!J9}%P!JV}%P!JW}%P!K8\
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"%%%%%kW%*/%%%%%%P2)%%dbd(&A,%/!-Xz:U!-[z%P!J:z%P!J>z%P!JXz%P!J[z%P!K:z%P!K>\
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"%%%%%kW%f/%%%%%%P2)%%dbd(&A,%/ 0Ky:AEIMQUY^dh!1S}%P!1T}%P!O,}%P!O-}%P!O5}%P\
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"%%%%%kW%H/%%%%%%P2)%%dbd(&A,%/!->z>8!-Xz%P!-[z%P!J:z%P!J>z%P!JXz%P!J[z%P!K:\
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"%%%%%kE%)/%%%%D%P2)%%b)j(9A,%/!A:t:U!A>t%P!AXt%P!A[t%P!B:t%P!B>t%P!BXt%P!B[\
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