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|
#############################################################################
##
#W sml512.cx GAP library of groups Hans Ulrich Besche
## Bettina Eick, Eamonn O'Brien
##
Revision.sml512_cx :=
"@(#)$Id: sml512.cx,v 1.1 1999/12/08 18:56:59 gap Exp $";
SMALL_GROUP_LIB[ 512 ][ 102 ] := [
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D%I6Y*M:^2UEh(K8[0SCf,O=b4WGj&J7Z+N<a3Fi)L9]1TDg-P>c5XHk!}t/,O!}w/,O!}u/,O!}\
x/,O!}tM,O!}wM,O!}uM,O!}xM,O!}t),H!}w),H!}u),H!}x),H!}tG,H!}wG,H!}uG,H }xG%I\
6Y*M:^2Eh(K8[0SCf,O=b4WGj&J7Z",
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:^2Eh(K8[0SCf,O=b4WGj&J7Z+N<a3F)L9]1TDg-P>c5XHk!}u&,H!}x&,H!}tE,G!}wE,G!}uE,\
H }xE%I6Y*M:^2Eh(K8[0SCf,O=b4WGj&J7Z+N<a3F)L9]1TDg-P>c5XHk!}t0,H!}w0,H %&0A",
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}x&D%I6QM^2ObJZ/+N<V)L]1->X }tED%I6QM^2ObJZ/+<V)L]1->X }wED%I6QM^2ObJZ/+N<V)\
L]1->X }uED%I6QM^2ObJZ/+<V)L]1->X }xED%I6QM^2ObJZ/+N<V)L]1->X }t0D%I6QM^2ObJ\
Z/+<V)L]1->X }w0D%I6QM^2ObJZ/+N<V)L]1->X }u0D%I6QM^2ObJZ/+<V)L]1->X!}x0D+h }\
tND%I6QM^2ObJZ/+<V)L]1->X }wND%I6QM^2ObJZ/+N<V)L]1->X }uND%I6QM^2ObJZ/+<V)L]\
1->X }xND%I6QM^2ObJZ/+<V)L]1->5X!}t*D+i!}w*D+i!}u*D+i!}x*D+i!}tHD+i }wHD%I6Q\
M^2bJZ/+N<V)L]1->X!}uHD+i }xHD%I6QM^2bJZ/+N<V)L]1->X!}t3D+i }w3D%I6QM^2bJZ/+\
N<V)L]1->X!}u3D+i!}x3D+i!}tQD+i!}wQD+i!}uQD+i }xQD%I6QM^2bJZ/+<V)L]1->5X }t%\
/I6YQdM^hbJZeNaV)L]gPcX }w%/I6YQdM^hbJZeNaV)L]gPcX }u%/I6YQdM^hbJZeNaV)L]gPc\
X }x%/I6YQdM^hbJZeNaV)L]gPcX }tD/I6YQdM^hJZeNaV)L]gPcX }wD/I6YQdM^hJZeNaV)L]\
gPcX }uD/I6YQdM^hJZeNaVL]gPcX }xD/I6YQdM^hJZeNaV)L]gPcX }t//I6YQdM^hbJZeNaVL\
]gPcX }w//I6YQdM^hbJZeNaV)L]gPcX a{//%I6Y.QdU(K[0SC,Ob4WG& }x//6YQM^hJZeNaV)\
L]gPcX }tM/I6YQdM^hbJZeNaV)L]gPcX }wM/I6YQdM^hbJZeNaV)L]gPcX }uM/I6YQdM^hbJZ\
eNaV)L",
Concatenation(
"%%%%%%%%(G9,->e1)<,,8%%n(%<-%% a{MPOb4WG& }xMP6YQdM^hJZeNaV)L]gPcX }t)PI6YQ\
dM^hbJZeNaV)L]gPcX }w)PI6YQM^hbJZeNaV)L]gPcX }u)PI6YQM^hbJZeNaV)L]gPcX }x)PI\
6YQdM^hbJZeNaV)L]gPcX azGP%I6Y.Qd(K[0SC,Ob4WG& }wGP6YQdM^hJZeNaV)L]gPcX a{GP\
%I6.Qd(K[0SC,Ob4WG& }xGP6YQdM^hJZeNaV)L]gPcX az2P%I6.QdU(K[0SC,Ob4WG& }w2P6Y\
QdM^hbJZeNaV)L]gPcX a{2P%I6Y.QdU(K[0SC,Ob4WG& }x2P6YQM^hJZeNaV)L]gPcX }tPPI6\
YQdM^hbJZeNaVL]gPcX }wPPI6YQdM^hbJZeNaV)L]gPcX a{PP%I6Y.QdU(K[0SC,Ob4WG& }xP\
P6YQM^hJZeNaV)L]gPcX az&P%I6.QdU(K[0SC,Ob4WG& }w&P6YQdM^hbJZeNaV)L]gPcX a{&P\
%I6Y.QdU(K[0SC,Ob4WG& }x&P6YQM^hbJZeNaV)L]gPcX azEP%I6.QdU(K[0SC,Ob4WG& }wEP\
6YQdM^hbJZeNaVL]gPcX a{EP%I6Y.QdU(K[0SC,Ob4WG& }xEP6YQM^hbJZeNaV)L]gPcX az0P\
%I6.QdU(K[0SC,Ob4WG& }w0P6YQM^hbJZeNaVL]gPcX a{0P%I6.QdU(K[0SC,Ob4WG& }x0P6Y\
QdM^hbJZeNaVL]gPcX azNP%I6Y.QdU(K[0SC,Ob4WG& }wNP6YQM^hbJZeNaV)L]gPcX a{NP%I\
6.QdU(K[0SC,Ob4WG&J7Z/ReV)L]1TD }QNP%IYdM^U az*P%I6.Qd(K[0SC,Ob4WG&J7/Re)L]1\
TD }P*P%IYdM^U a{*P%I6.Qd(K[0SC,Ob4WG&J7/Re)L]1TD }Q*P%IYdM^U azHP%I6.Qd(K[",
"0SC,Ob4WG& }wHP6YQM^hJZeNaVL]gPcX a{HP%I6Y.Qd(K[0SC,Ob4WG& }xHP6YQM^hJZeNaV\
L]gPcX az3P%I6.Qd(K[0SC,Ob4WG& }w3P6YQM^hJZeNaVL]gPcX a{3P%I6.Qd(K[0SC,Ob4WG\
&J7/Re)L]1TD-Pc5XH azQP%I6.Qd(K[0SC,Ob4WG&J7/Re)L]1TD-Pc5XH a{QP%I6.Qd(K[0SC\
,Ob4WG&J7Z/Re)L]1TD-Pc5XH az%&%6YQAdK8[0CfO=b4Gj&7ZRBeL9]" ),
"%%%%%%%%&G9,->e1)<,,8%%2%%)*%% }M%.AdM:^2Eh!}w%*0!}u%9t!}x%9t!}tD*0 }wD%6YQ\
AdK8[0CfO=b4Gj7ZRBeL9]1DgP>c5Hk!}uD*0 }xD%6YQAdK8[0CfO=b4Gj7ZRBeL9]1DgP>c5Hk\
!}t/*0!}w/*0!}u/9t!}x/9t!}tM*0 }wM%6YQAdK8[0CfO=b4Gj7ZRBeL9]1DgP>c5Hk!}uM*0 \
}xM%6YQAdK8[0CfO=b4Gj7ZRBeL9]1DgP>c5Hk!}t)*0!}w)*0!}u)*0!}x)*0!}tG*0!}wG*0!}\
uG*0!}xG*0!}t29t!}w29t!}u29t!}x29t!}tP9t z)P6YQAd",
Concatenation(
"%%%%%%%%(G9,->e1)<,,8b%2%%)*%% a{3%K8[0CfO=b4Gj7ZRBeL9]1DgP>c5Hk!azQ%9t!a{Q\
%9t }t%D%QdM2EJ/B+ViL1D-Xk }w%D%QdM2EJ/B+ViL1D-Xk }u%D%QdM2EJ/B+ViL1D-Xk }x%\
D%QdM2EJ/B+ViL1D-Xk }tDDQdM2EJ/B+ViL1D-Xk }wDDQdM2EJ/B+ViL1D-Xk }uDDQdM2J/B+\
ViL1D-Xk }xDDQdM2EJ/B+ViL1D-Xk }t/D%QdM2EJ/B+iL1D-Xk }w/D%QdM2EJ/B+ViL1D-Xk \
}u/D%QdM2J/B+ViL1D-k }x/DQdM2EJ/B+iL1D-Xk }tMD%QdM2EJ/B+ViL1D-Xk }wMD%QdM2EJ\
/B+ViL1D-Xk }uMD%QdM2EJ/B+ViL1D-Xk }xMDQdM2EJ/B+ViL1D-Xk }t)D%QdM2EJ/B+ViL1D\
-Xk }w)D%QdM2EJ/B+iL1D-Xk }u)D%QdM2EJ/B+iL1D-Xk }x)D%QdM2EJ/B+ViL1D-Xk }tGDQ\
dM2J/B+ViL1D-k }wGDQdM2EJ/B+ViL1D-Xk }uGDQdM2J/B+iL1D-k }xGDQdM2EJ/B+ViL1D-X\
k }t2D%QdM2J/B+iL1D-k }w2D%QdM2EJ/B+ViL1D-Xk }u2D%QdM2J/B+ViL1D-k }x2DQdM2EJ\
/B+iL1D-Xk }tPD%QdM2EJ/B+iL1D-Xk }wPD%QdM2EJ/B+ViL1D-Xk }uPD%QdM2J/B+ViL1D-k\
}xPDQdM2EJ/B+iL1D-Xk }t&D%QdM2J/B+iL1D-k }w&D%QdM2EJ/B+ViL1D-Xk }u&D%QdM2J/\
B+ViL1D-k }x&D%QdM2EJ/B+iL1D-Xk }tED%QdM2J/B+iL1D-k }wED%QdM2J/B+ViL1D-Xk }u\
ED%QdM2J/B+ViL1D-k }xED%QdM2EJ/B+iL1D-Xk }t0D%QdM2J/B+iL1D-k }w0D%QdM2J/B+i",
"L1D-Xk }u0D%QdM2J/B+iL1D-k }x0D%QdM2EJ/B+iL1D-Xk }tND%QdM2J/B+ViL1D-k }wND%\
QdM2EJ/B+iL1D-Xk }uND%QdM2J/B+iL1D-k }xND%QdM2EJ/B+ViL1D-k }t*DQdM2J/B+iL1D-\
k }w*DQdM2EJ/B+iL1D-k }u*DQdM2J/B+iL1D-k }x*DQdM2EJ/B+iL1D-k }tHDQdM2J/B+iL1\
D-k }wHDQdM2J/B+iL1D-Xk }uHDQdM2J/B+ViL1D-k" ),
Concatenation(
"%%%%%%%%(G9,->e1)<,,8b%n%%)*%% }xHDQdM2J/B+iL1D-Xk }t3DQdM2J/B+iL1D-k }w3DQ\
dM2J/B+iL1D-Xk }u3DQdM2J/B+iL1D-k }x3DQdM2J/B+iL1D-k }tQDQdM2J/B+iL1D-k }wQD\
QdM2J/B+iL1D-k }uQDQdM2J/B+iL1D-k }xQDQdM2EJ/B+iL1D-k az%/I6Y.Ad(8[SCf,=bWGj\
J7Z/Be)9]TDg->cXHk a{%/I6Y.Ad(8Sf=jJ7Z/Be)9]TDg->cXHk azD/I6Y.Ad(8[SCf,=bWGj\
J7Z/Be)9]TDg->cXHk a{D/I6Y.Ad(8[SCf,=bWGjJ7Z/Be)9]TDg->cXHk az//I6Y.Ad(8Sf=j\
J7Z/Be)9]TDg->cXHk au//I6Y.Ad(8[SCf,=bWGj azM/I6Y.Ad(8[SCf,=bWGjJ7Z/Be)9]TDg\
->cXHk a{M/I6Y.Ad(8[SCf,=bWGjJ7Z/Be)9]TDg->cXHk at)/I6Y.Ad(8[SCf,=bWGj ax)/I\
6Y.Ad(8[SCf,=bWGj azG/I6Y.Ad(8[SCf,=bWGjJ7Z/Be)9]TDg->cXHk a{G/I6Y.Ad(8Sf=jJ\
7Z/Be)9]TDg->cXHk aw2/I6Y.Ad(8[SCf,=bWGj au2/I6Y.Ad(8[SCf,=bWGj azP/I6Y.Ad(8\
Sf=jJ7Z/Be)9]TDg->cXHk auP/I6Y.Ad(8[SCf,=bWGj aw&/I6Y.Ad(8[SCf,=bWGj au&/I6Y\
.Ad(8[SCf,=bWGj awE/I6Y.Ad(8[SCf,=bWGj auE/I6Y.Ad(8Sf=j at0/I6Y.Ad(8[SCf,=bW\
Gj ax0/I6Y.Ad(8[SCf,=bWGj atN/I6Y.Ad(8Sf=j aw*/I6Y.Ad(8[SCf,=bWGj au*/I6Y.Ad\
(8Sf=j at3/I6Y.Ad(8Sf=j!}t%M=E!}w%M=E!}u%M=E!}x%M=E!}tDM=E!}wDM=E }uDMQd^2Z",
"/V]1D>X!}xDM=E!}t/M=E!}w/M=E!}u/M=F }x/MQd^2Z/V]1D>X!}tMM=E!}wMM=E!}uMM=E!}\
xMM=E!}t)M=E }w)MQd^2Z/V]1D>X }u)MQd^2Z/V]1D>X!}x)M=E!}tGM=F }<GMQd^2[0" ),
"%%%%%%%%(G9,->e1)<,,8b%n(%)*%% }nGMAU[0C=W!}uGM=F!}xGM=E!}t2M=F!}w2M=E!}u2M\
=F }x2MQd^2Z/V]1D>X!}tPM=E!}wPM=E!}uPM=F }xPMQd^2Z/V]1D>X!}t&M=F!}w&M=E!}u&M\
=F }x&MQd^2Z/V]1D>X!}tEM=F }wEMQd^2Z/V]1D>X!}uEM=F }xEMQd^2Z/V]1D>X!}t0M=F }\
w0MQd^2Z/V]1D>X!}u0M=F!}x0M=E!}tNM=F }wNMQd^2Z/V]1D>X!}uNM=F }xNMQd^2Z/BV1D>\
X!}t*M=F!}w*M=F!}u*M=F!}x*M=F!}tHM=F }wHMQd^2Z/V]1D>X!}uHM=F }xHMQd^2Z/V]1D>\
X!}t3M=F }w3MQd^2Z/V]1D>X!}u3M=F!}x3M=F!}tQM=F!}wQM=F!}uQM=F }xQMQd^2Z/BV1D>\
X!}t%)=2!}w%)=2!}u%)=2!}x%)=2!}tD)<t!}wD)<t!}uD)<t!}xD)<t!}t/)=2!}w/)=2!}u/)\
=2!}x/)<t!}tM)=2!}wM)=2!}uM)=2!}xM)<t!}t))=2!}w))=2!}u))=2!}x))=2!}tG)<t!}wG\
)<t!}uG)<t!}xG)<t!}t2)=2!}w2)=2!}u2)=2!}x2)<t }tP)QM^2hZ/eNaVL]g",
"%%%%%%%%(G9,->e1)<,,8b%n&%)*%% {MP%I6YQ!}wP%=2!}uP%=2!}xP%<t!}t&%=2!}w&%=2!\
}u&%=2!}x&%=2!}tE%=2!}wE%=2!}uE%=2!}xE%=2!}t0%=2!}w0%=2!}u0%=2!}x0%=2!}tN%=2\
!}wN%=2!}uN%=2!}xN%=2!}t*%<t!}w*%<t!}u*%<t!}x*%<t!}tH%<t!}wH%<t!}uH%<t!}xH%<\
t!}t3%<t!}w3%<t!}u3%<t!}x3%<t!}tQ%<t!}wQ%<t!}uQ%<t!}xQ%<t }t%M2h/e+N-P> }w%M\
2h/e+N-P> }u%M2h/e+N-P> }x%M2h/e+N-P> }tDM2h/e+N-P> }wDM2h/e+N-P> }uDM2h/e+N\
P> }xDM2h/e+N-P> }t/M2h/e+N-P> }w/M2h/e+N-P> }u/M2h/e+P> }x/M2h/e+NP> }tMM2h\
/e+N-P> }wMM2h/e+N-P> }uMM2h/e+N-P> }xMM2h/e+N-P> }t)M2h/e+N-P> }w)M2h/e+NP>\
}u)M2h/e+NP> }x)M2h/e+N-P> }tGM2h/e+P> }wGM2h/e+N-P> }uGM2h/e+P> }xGM2h/e+N\
-P> }t2M2h/e+P> }w2M2h/e+N-P> }u2M2h/e+P> }x2M2h/e+NP> }tPM2h/e+N-P> }wPM2h/\
e+N-P> }uPM2h/e+P> }xPM2h/e+NP> }t&M2h/e+P> }w&M2h/e+N-P> }u&M2h/e+P> }x&M2h\
/e+NP> }tEM2h/e+P> }wEM2h/e+NP> }uEM2h/e+P> }xEM2h/e+NP> }t0M2h/e+P> }w0M2h/\
e+NP> }u0M2h/e+P> }x0M2h/e+N-P> }tNM2h/e+P> }wNM2h/e+NP> }uNM2h/e+P",
Concatenation(
"%%%%%%%%(G9,->e1)<,,8b%n(%<*%% {{NP=/e }oNP.d*,O= }t*P2h/e+P> }w*P2h/e+P> }\
u*P2h/e+P> }x*P2h/e+P> }tHP2h/e+P> }wHP2h/e+NP> }uHP2h/e+P> }xHP2h/e+NP> }t3\
P2h/e+P> }w3P2h/e+NP> }u3P2h/e+P> }x3P2h/e+P> }tQP2h/e+P> }wQP2h/e+P> }uQP2h\
/e+P> }xQP2h/e+-P> }t%&M2UJRe+aiLTDcXk }w%&M2UJRe+aiLTDcXk }u%&M2UJR+iTD }x%\
&M2UJRe+aiLTDcXk }tD&MUJRe+aiLTDcXk }wD&MUJRe+aiLTDcXk }uD&MUJRe+aiLTDcXk }x\
D&MUJRe+aiLTDcXk }t/&M2UJR+iTD }w/&M2UJRe+aiLTDcXk }u/&MUJRe+aiLTDcXk }tM&M2\
UJRe+aiLTDcXk }wM&M2UJRe+aiLTDcXk }uM&M2UJRe+aiLTDcXk }xM&MUJRe+aiLTDcXk }t)\
&M2UJRe+aiLTDcXk }x)&M2UJRe+aiLTDcXk }tG&MUJRe+aiLTDcXk }wG&MUJRe+aiLTDcXk }\
uG&MUJR+iTD }xG&MUJRe+aiLTDcXk }w2&M2UJRe+aiLTDcXk }u2&MUJRe+aiLTDcXk }tP&M2\
UJR+iTD }wP&M2UJRe+aiLTDcXk }uP&MUJRe+aiLTDcXk }w&&M2UJRe+aiLTDcXk }u&&MUJRe\
+aiLTDcXk }wE&MUJRe+aiLTDcXk }uE&MUJR+iTD }t0&MUJRe+aiLTDcXk }x0&M2UJRe+aiLT\
DcXk }tN&MUJR+iTD }w*&MUJRe+aiLTDcXk }u*&MUJR+iTD }t3&MUJR+iTD }q%E.Mf=/Ng> \
}r%E.Mf=/Ng> }qDE.Mf=/Ng> }rDE.Mf=/Ng> }q/E.Mf=/Ng> }r/E.f=/Ng> }qME.Mf=/Ng",
"> }rME.Mf=/Ng> }q)E.Mf=/Ng> }r)E.Mf=/Ng> }qGE.f=/Ng> }rGE.f=/Ng> }q2E.f=/Ng\
> }r2E.f=/Ng> }qPE.Mf=/Ng> }rPE.f=/Ng> }q&E.f=/Ng> }r&E.f=/Ng> }qEE.f=/Ng> }\
rEE.f=/Ng> }q0E.f=/Ng> }r0E.f=/Ng> }qNE.f=/Ng> }rNE.f=/g> }q*E.f=/g> }r*E.f=\
/g> }qHE.f=/Ng> }rHE.f=/Ng> }q3E.f=/Ng> }r3E.f=/g> }qQE.f=/g> }rQE.f=/g>!az%\
0=C!a{%0=C azD0QK8[0COb4GRL9]1DPc5H a{D0QK8[0COb4GRL9]1DPc5H!az/0=C a{/0QdK8\
[0COb4GRL9]1DPc5H!azM0=C a{M0QdK8[0COb4GRL9]1DPc5H a8)0QdM:^" ),
"%%%%%%%%(G9,->e1)<,,8b%n(%2*%% az)/0COb4GReL9]1DPc5H!a{)/=C azG/QK8[0COb4GR\
L9]1DPc5H a{G/QK8[0COb4GRL9]1DPc5H!az2/=C a{2/QdK8[0COb4GRL9]1DPc5H!azP/=C a\
{P/QdK8[0COb4GRL9]1DPc5H!az&/=C!a{&/=C!azE/=C!a{E/=C!az0/=C!a{0/=C!azN/=C!a{\
N/=C az*/QK8[0COb4GRL9]1DPc5H a{*/QK8[0COb4GRL9]1DPc5H azH/QK8[0COb4GRL9]1DP\
c5H a{H/QK8[0COb4GRL9]1DPc5H az3/QK8[0COb4GRL9]1DPc5H a{3/QK8[0COb4GRL9]1DPc\
5H azQ/QK8[0COb4GRL9]1DPc5H a{Q/QK8[0COb4GRL9]1DPc5H mUtGI6QAM:UEK8SCO=WGJ7R\
B<VFL9TDP>XH mUwGI6QAM:UE8SC=WG7RB<VFL9TD>XH mUuG6QA:UE8SC=WG7RB<VF9TD>H mUx\
G6A:E8SC=WG7RB<F9D>H!az%2=1!a{%2=1 asD2IY.AM^2EK[0COb4GJZ/BNa3FL]1DPc5H!az/2\
=1 a{/2QK[0COb4GL]1DPc5H!azM2=1 a{M2QK[0COb4GL]1DPc5H!az)2=1!a{)2=1 asG2IY.A\
M^2EK[0COb4GJZ/BNa3FL]1DPc5H!az22=1 a{22QK[0COb4GL]1DPc5H!azP2=1 a{P2QK[0COb\
4GL]1DPc5H!az&2=1!a{&2=1!azE2=1!a{E2=1!az02=1!a{02=1 azN2QK[0COb4GRL]1DP",
Concatenation(
"%%%%%%%%(J9.->e1)<,,8(%n(b<-,% U=H0H%Y.A!UCo0H%=1 UBtNH%IY.AM^2EK[0COb4GJZ/\
BNa3FL]1DPc5H UBwNH%IY.AM^2EK[0COb4GJZ/BNa3FL]1DPc5H UBuNH%IY.AM^2EK[0COb4GJ\
Z/BNa3FL]1DPc5H UBxNH%IY.AM^2EK[0COb4GJZ/BNa3FL]1DPc5H UBt&%DIY.AM^2EK[0COb4\
GJZBaL]1DPc5H UBw&%DI.AM^2EK0COb4GJ/BNa3FL1DPc5H UBu&%DIYA^K[0COb4GJ/Ba3F UB\
x&%DIY.AM^2EK[0COb4GJZ/BNa3FL1DPc5H UBtE%DIY.AM^2EL]1DPc5H UBwE%DI.A^2EK0COb\
4GJBaL1DPc5H UBuE%DK[0COb4GJ/Ba3F UBxE%DIYA^K[0COb4GJ/Ba3F UBt0%DK[0COb4GJ/B\
a3F UBw0%DK0COb4GJBa UBu0%DI.A^2EL]1Dc5H UB*0%DIA^ UBtN%DK0Cb4GJBa UB&N%DIA^\
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|