sml512.ax

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

SMALL_GROUP_LIB[ 512 ][ 50 ] := [
"%%%%%kVYj/8-,8bFD%,,%c%b%%/%%%!}kMP=.!}uMP0k!}w)P0k!}x)P0k!}wGP0k!}xGP0k!}w\
2P0k!}x2P0k!}tPP0k!}uPP0k!}n%&/g!}f%&/g!}dD&0k!}w/&0k!}x/&0k!}wM&0k!}xM&0k!}\
2&&.U",
"%%%%%kVYj/8-,8bFD8%%%&%D%%/%%%!}n&%=L!}f&%/g!}dE%0k!}w0%0k!}x0%0k!}wN%0k!}x\
N%0k!}n%D/g!}f%D/g!}w/D0k!}x/D0k!}n)D/g!}f)D/g!}w2D0k!}x2D0k!}n&D/g!}f&D/g!}\
w0D0k!}x0D0k!}n*D/g!}f*D/8",
"%%%%%kVYj/8-,8bFD8,%%&%D%%/%%%!}H*D=-!}w3D0k!}x3D0k!}n%//g!}f%//g!}dD/0k!}w\
//0k!}x//0k!}wM/0k!}xM/0k!}n&//g!}f&//g!}dE/0k!}w0/0k!}x0/0k!}wN/0k!}xN/0k!}\
n%M/g!}f%M/g!}e/M/]",
"%%%%%kVYj/8-,8bFD8,,%&%D%%/%%%!}w/M=T!}x/M0k!}n)M/g!}f)M/g!}w2M0k!}x2M0k!}n\
&M/g!}f&M/g!}w0M0k!}x0M0k!}n*M/g!}f*M/g!}w3M0k!}x3M0k!}n%)/g!}f%)/g!}dD)0k!}\
w/)0k!}x/)0k!}wM)0k!z*M),o",
"%%%%%kVYj/8-,8bDD8%)%&%D%%/%%%!}xM=/!}n)/g!}f)/g!}dG0k!}w20k!}x20k!}wP0k!}x\
P0k!}n&/g!}f&/g!}dE0k!}w00k!}x00k!}wN0k!}xN0k!}n*/g!}f*/g!}dH0k!}w30I",
"%%%%%kVYj/8-,8bDD8,)%&%D%%/%%%!}n3%=L!}x3%0k!}wQ%0k!}xQ%0k!}n%D/g!}f%D/g!}d\
DD0k!}w/D0k!}x/D0k!}wMD0k!}xMD0k!}n)D/g!}f)D/g!}dGD0k!}w2D0k!}x2D0k!}wPD0k!}\
xPD0k!}n&D/8",
"%%%%%kVYj/8-,8bDD8,,%&%b(%/%%%!}P&P=-!}f&P/g!}dEP0k!}w0P0k!}x0P0k!}wNP0k!}x\
NP0k!}n*P/g!}f*P/g!}dHP0k!}w3P0k!}x3P0k!}wQP0k!}xQP0k!}g%&0k!}gD&0k!}e/&/g!}\
kM&/g!}g)&0g",
"%%%%%kVYj/8-,8bFD8%%%&%%&%/%%% xH)%I6Y!}gG%0k!}e2%/g!}kP%/g!}w&%0k!}x&%0k!}\
wE%0k!}xE%0k!}e0%/g!}o0%/g!}mN%0k!}g%D0k!}gDD0k!}e/D/g!}kMD/g!}g)D0k!}gGD0k!\
}e2D/g!}kPD/g!}w&D0k!}x&D0,",
"%%%%%kVYj/8-,8bFD8,%%&%%&%/%%%!}o&D=.!}wED0k!}xED0k!}e0D/g!}o0D/g!}mND0k!}g\
%/0k!}gD/0k!}e///g!}kM//g!}g)/0k!}gG/0k!}e2//g!}kP//g!}w&/0k!}x&/0k!}wE/0k!}\
xE/0k!}e0//g!}o0//g!}/N/.U",
"%%%%%kVYj/8-,8bFD8,,%&%%&%/%%%!}mN/=M!}g%M0k!}gDM0k!}e/M/g!}kMM/g!}g)M0k!}g\
GM0k!}e2M/g!}kPM/g!}w&M0k!}x&M0k!}wEM0k!}xEM0k!}e0M/g!}o0M/g!}mNM0k!}w%)0k!}\
x%)0k!}wD)0W",
"%%%%%kVYj/8-,8bFD%%)%&%%&%/%%%!}PD=-!}xD0k!}e//g!}o//g!}mM0k!}w)0k!}x)0k!}w\
G0k!}xG0k!}e2/g!}o2/g!}mP0k!}w&0k!}x&0k!}wE0k!}xE0k!}e0/g!}o0/g!}mN0k!}e*/]",
"%%%%%kVYj/8-,8bFD%,)%&%%&%/%%%!}w*%=T!}x*%0k!}wH%0k!}xH%0k!}e3%/g!}o3%/g!}m\
Q%0k!}w%D0k!}x%D0k!}wDD0k!}xDD0k!}e/D/g!}o/D/g!}mMD0k!}w)D0k!}x)D0k!}wGD0k!}\
xGD0k!z)2D,o",
"%%%%%kVYj/8-,8bFD%,,%&%b&%/%%%!}e2M=.!}o2M/g!}mPM0k!}w&M0k!}x&M0k!}wEM0k!}x\
EM0k!}e0M/g!}o0M/g!}mNM0k!}w*M0k!}x*M0k!}wHM0k!}xHM0k!}e3M/g!}o3M/g!}mQM0k!}\
w/)0k!}x/)0I",
"%%%%%kVYj//-,/bFD8,%%&%D&%/%%%!}n%=L!}u%0k!}x%0k!}t/0k!}w/0k!}tM0k!}wM0k!}t\
)0k!}w)0k!}tG0k!}wG0k!}t20k!}w20k!}u20k!}x20k!}t&0k!}e&/8",
"%%%%%kVYj//-,/bFD8,,%&%D&%/%%%!}w&%=H!}u&%0k!}x&%0k!}t0%0k!}w0%0k!}tN%0k!}w\
N%0k!}t*%0k!}w*%0k!}tH%0k!}wH%0k!}t3%0k!}w3%0k!}u3%0k!}x3%0k!}t%D0g",
"%%%%%kVYj//-,/bFD%,)%&%D&%/%%% xM%I6Y!}w%0k!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}\
xD0k!}t/0k!}w/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0,",
"%%%%%kVYj//-,/bFD%,,%&%b(%8,%%!}k*P=.!}w*P0k!}u*P0k!}x*P0k!}tHP0k!}wHP0k!}u\
HP0k!}xHP0k!}t3P0k!}w3P0k!}u3P0k!}x3P0k!}tQP0k!}wQP0k!}uQP0k!}xQP0k!}%%&.U",
"%%%%%kVYj//-,/bFD8%%%&%%%%%)%%!}t%=M!}w%0k!}u%0k!}x%0k!}kD/g!}eD/g!}uD0k!}x\
D0k!}t/0k!}w/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k }t)%6Y.Ad*:^UEh&J7Z/RBe+\
N<a3VFi)L9]1TDg-P>c5XHk }))%I6Y.QAd*",
"%%%%%kVYj//-,/bFD8,%%&%%%%%)%%!}e)<j!}u)0k!}x)0k!}eG/g!}uG0k!}xG0k!}t20k!}w\
20k!}u20k!}x20k!}tP0k!}wP0k!}uP0k!}xP0k!}t&0k!}w&0k!}u&0N",
"%%%%%kVYj//-,/bFD8)%%&%%%%%)%%!}N%<)!}x%0k!}wD0k!}uD0k!}xD0k!}t/0k!}w/0k!}u\
/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}e)/g!}u)0k!}x)0k }tG%6Y.Ad*:^UEh&J7Z/RBe+\
N<a3VFi)L9]1TDg-P>c5XHk!})G.U",
"%%%%%kVYj//-,/bFD8,,%&%%%%%)%%!}eH%=L!}uH%0k!}xH%0k!}t3%0k!}w3%0k!}u3%0k!}x\
3%0k!}tQ%0k!}wQ%0k!}uQ%0k!}xQ%0k!}k%D/g!}e%D/g!}u%D0k!}x%D0k!}kDD/g!}eDD/g!}\
uDD0k!}fDD/8",
"%%%%%kVYj//-,/bFD8%)%&%%%%%)%%!}xD=H!}e//g!}u/0k!}x/0k!}wM0k!}uM0k!}xM0k!}k\
)/g!}e)/g!}u)0k!}x)0k!}eG/g!}uG0k!}xG0k!}e2/g!}u20k!}x20k!}eP/g!}uP0g",
"%%%%%kVYj//-,/bFD8,)%&%%%%%)%% xNPI6Y!}xP0k!}k&/g!}e&/g!}u&0k!}x&0k!}kE/g!}\
eE/g!}uE0k!}xE0k!}w00k!}u00k!}x00k!}eN/g!}uN0k!}xN0k!}e*/g!}u*0k!}x*0k!}kH/g\
!z)H,o",
"%%%%%kVYj//-,/bFD8,,%c%%%%%)%%!}eHD=.!}uHD0k!}xHD0k!}e3D/g!}u3D0k!}x3D0k!}e\
QD/g!}uQD0k!}xQD0k!}e%//g!}u%/0k!}x%/0k!}uD/0k!}xD/0k!}e///g!}u//0k!}x//0k!}\
eM//g!}uM/0I",
"%%%%%kVYj//-,/bFD8,%%E%%%%%)%%!}lM=L!}xM0k }.)(K8[Cf,O=bGj&J7Z/RBe+N<a3VFi!\
}u)5P!}x)0k!}uG0k!}xG0k!}e2/g!}u20k!}x20k!}eP/g!}uP0k!}xP0k!}e&/g!}u&0k!}x&0\
k!}uE0k!}xE0k!}e0/g }&0%I6Y.QAd*",
"%%%%%kVYj//-,/bFD8,,%E%%%%%)%%!}u0%<k!}x0%0k!}eN%/g!}uN%0k!}xN%0k!}u*%0k!}x\
*%0k }.H%(K8[Cf,O=bGj&J7Z/RBe+N<a3VFi!}uH%5P!}xH%0k!}e3%/g!}u3%0k!}x3%0k!}eQ\
%/g!}uQ%0k!}xQ%0k!}u%D0k!}x%D0k!z&DD,o",
"%%%%%kVYj//-)/bFD8,)%E%%%%%)%%!}u%=/!}x%0k!}tD0k!}wD0k!}uD0k!}xD0k!}t/0k!}w\
/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0I",
"%%%%%kV}j/8-,8bFD8,,%c%%%%%,%%!yLQDQ=L!yLlMQ0k!yLoMQ0k!yLlGQ0k!yLoGQ0k!yLlP\
Q0k!yLoPQ0k!yLlEQ0k!yLoEQ0k!yLlNQ0k!yLoNQ0k!yLlHQ0k!yLoHQ0k!yLlQQ0k!yLoQQ0k \
v78%%%6Y*(8[0Cf&J7Z+N<a)L9]1TDg v7e%%%6YA*&J7B+N3)1!v72%%,{ v79%%%I6YAd(8[0C\
f,=b4Gj&J7Z/RB",
"%%%%%kV9j/8-,8%FD8,,%c%b%%%%%% }eD%d(K80Cf,O=4Gj }uD%%I6YA(K,O&J7ZB)L-P!}fD\
%,{!}t/%9j!}u/%9j }d)%*M:(8[0Cf+N)9]1D }l)%*(8[0C }LG%%6Y.*2(8[0SC,=b4WG&7ZB\
+<aF CNG%%IY.Qd {t2%6Y.QAd*M:^2UEh8[0SCf,O=b4WGj }d*%*M:8[CfNg }l*%*8Cf }JH%\
6Y*2,O=b {t3%6YAd*M:^2UEh8[Cf,O=b4WGj s:8D%I,/RBe sv/D*M:^0SCf,O=b/RBe+N<a1T\
Dg-P>c qXID%I*M:^2E(K kXb/%I6YAd*M:^2UEh }t%)%I6YA*M&7B+)1 jy%)%I6.QA*M:^(K8\
0SC,O=b&J }f%)6Y*M:^(K8[0SCf }tD)%I6YA(0,4&J7ZB)L1T-P5X }wD)%I6Y.A(0S,4W&J7Z\
/B)L1-P5 }iD)%I6YAd(K8[,O=b&J7Z/RBe)L9]-P>c!}t/)9j!}u/)9j }t))*M(8[0C+)9]1D \
}]G)%6.A*2(8[0C,4&J/+N3 vKG)%6Y.Ad*:^2Eh {t2)6Y.QAd*M:^2UEh8[0SCf,O=b4WGj }t\
*)*f+9Dg }]H)6A*8Cf,+N3V {t3)6YAd*M:^2UEh8[Cf,O=b4WGj st8G(/RBe+N<a1TDg-P>c \
su/G.QAd*M:^0SCf,O=b sXIG%*:^(K0S&+N< kXb26Y*M:^2UEh }m%&%I6Y.QAd*M:^2UEh(K8\
[0SCf,O=b4WGj&JZRBe+N<a3VFi)L9]1TDg-P>c5XHk!}tD&1, }uD&%I6Y.QAM:^2UEh(K8[0SC\
f,O=b4WGj&J7Z/RBe+N<a3Fi)L9]1TDg-P>c5XHk!}h/&0k }u/&%I6YA*M:^E&J7Z/B+N<a3F)L\
1T-P",
"%%%%%kV9j/8-,8bDD8%%%&%D%%%%%% j{/Gj&J }x/6Y.A*M:^2E(K0S,O4W&J7ZB+N<a3F)L1T\
-P5X }hM%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&J7Z/RBe+N<a3VFi)L9]1TDgP>c5XH!}uM,}\
 }xM%I6Y.*M:^2E(K0SO4W&J7Z/B+N<a3F)L1T-PX }m)%I6Y.A*M:^2UEh(K8[0SCf,O=b4WGj&\
ZRB+N<a3VFi)L9]1TDg-P>c5XHk }tG%I6Y.Qd*M:^2Eh(K8[0SCf,O=b4WGj&JZ/RBeN<a3Fi)L\
9]1TDg-P>c5XHk }uG%IY.QAM:^2Eh(K8[0SCf,O=b4WGj&J7/RBeN<a3Fi)L9]1TDg-P>c5XHk \
}e2I6YQAd*M:^2UEh(8[0Sf,O=b4WGj }u2%6.QAd*:2UEh(K0S,O4W&7/Be+<VFi }x26.QAd*:\
2UEh(KS,O4W7/Be+<3VFi)1T-P5X }hP%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&JZ/RB+N<a3V\
Fi)L9]1TDgP>Xk!}uP)A }xP%.Qd*:2UEh(K0SOW&/RBe+<3VFi)L1TPX }k&IY.A*M:^2UEh(K8\
[0SCf,O=b4WGj }e&IYQd*M:^2UEh(K8[0SCf,O=b4WGj!}r&60 }tE%I6.QdM:^2Eh(K8[0SCf,\
O=b4WGj&JZ/RBN<aFi)L9]1TDg-P>c5XHk }wE%I.Qd:^Eh(K8[0SCf,O=b4WGj&J7/RBN<aVFi)\
L9]1TDg-P>c5XHk }uE%I.Q:^Eh(K8[0SCf,O=b4WGj&J7/Re<a3Fi)L9]1TDg-P>c5XHk }xE%I\
.Q:^Eh(K8[0SCf,O=b4WGj&J/RB<aFi)L9]1TDg-P>c5XHk }A0(8[SCf,=b4GjJ7ZBe+N<a3VFi\
 }w0([Sf,O=b4WGj7ZBe+N<a3VFi)]Tg-P>c5XHk }x06YQAd*M:^2UEh([Sf,O=b4WGj7ZBe+N<\
a3VFi)]Tg-P>c5XHk",
"%%%%%kV9j/8-,8bDD8,%%&%D%%%%%%!}tN%0k }wN%%IY.Q*M:^2UEh(K8[0SCf&J/R+N<a3VFi\
)L9]1TDg!}uN%0k }xN%%I.Q*M:^2UEh(K8[0SCf&J/RB+N<a3VFi)L9]1TDg }m%D*M:^2UEh(K\
8[0SCf,O=b4WGjN<a3Vi)L9]1TDg-P>c5XHk }tDD%I.Q:^Eh(K8[0SCf,O=b4WGj&J/R<ai)L9]\
1TDg-P>c5XHk }uDD%IQ:Eh(K8[0SCf,O=b4WGj&J/R<aF)L9]1TDg-P>c5XHk }h/D%I6Y.QAd*\
M:^2UEh(K8[0SCf,O=b4WGj7ZBe<aFi)L1T>cHk z{/D%I6Y.QAd*M:^2UEh(8[0Cf7ZBe+N3V9]\
Dg-P5X }hMD%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&J/R+N3V)L1>Hk z{MD%I6Y.QAd*M:^2U\
Eh(K8[0SCf,O=b4WGj&J/R+N3)L1T-5X }m)D*:2UEh(K8[0SCf,O=b4WGjN<3i)L9]1TDg-P>c5\
XHk }tGD%.Q^Eh(K8[0SCf,O=b4WGj&JR<i)L9]1TDg-P>c5XHk }uGD%Q:h(K8[0SCf,O=b4WGj\
&/RaF)L9]1TDg-P>c5XHk }e2D6YAd:^Eh(K0=Gj z{2D%I6YAd(K8[0SCf,O=b4WGj7ZBeN3V9]\
Dg-P5 }hPD%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&J/R+N3V)1cH z{PD%I6Y.QAd*M:^2UEh(\
K8[0SCf,O=b4WGj&J/R+3)L1T-5 }k&D*:Uh(K8[0SCf,O=b4WGj }e&D%6.A(K8[0SCf,O=b4WG\
j!}T&D/g }tED%Q^E(K8[0SCf,O=b4WGj&Ri)L9]1TDg-P>c5XHk }wED6(K8[0SCf,O=b4WGjZe\
+3)L9]1TDg-P>c5XHk }uED(K8[0SCf,O=b4WGj&RF)L9]1TDg-P>c5XHk }xED(K8[0SCf,O=b4\
WGjZ)L9]1TDg-P",
Concatenation(
"%%%%%kt9}/8-,8bFD8,,%&%b(%%%%%!sHP*/9E shc*/%I6YAd*M:^Eh7ZBe<aFiL1>H siE*/6\
YAd:^EhK0=G sjN*/6YAd:^EhK0=G7ZBe<aFiL1>H!sj**/0k mdx*/(K8[0SCf,O=b4WGj&J!sj\
3*/9S!mdQ*/.c!sf%%M.c!sbD%M.c sik%M([0SCf,O=b4jJ7/RBe+N<a3i!sg)%M/e sdG%M%IY\
.QAd*M:^UE(K8[0SCf,O=b4WGj sg2%M%IYQAdM:^2Uh(K8[0SCf,O=b4WG sdP%MI6Y.QA*M^2E\
h(K8[0SC,ObWGj pdW%M%I6Y.QAd*:^2UEh(K8[0SCf=b4WGj mdZ%MI6Y.QdM:^2UEK8Sf,O=WG\
 sf%DM%6Y.Qd*M^2Eh sbDDM%IYQAd*:^2UE sikDM([SCO=4j&Z/eN<VF sg)DMIY.QAd*M:^Uh\
K80SCf,ObWG sdGDMI6.QA*^2h(80SCf,O=bWj sg2DM%YQAM:2h(K8SCfO=b4G sdPDM%Y.dM:U\
EK8[Sf,=4G pdWDM%6QAM:Uh8[0SCO4W mdZDMYQAM^2(S=j sf%)M%6QdM^2E sbD)M%6.AM^Uh\
 sik)M[S=47Ra3 sg))MIY.A*:UhK80f,WG sdG)M%Y.M:K[Sf,=4G sg2)M%AMh(8SfObG sdP)\
MIA*h(8COj pdW)M%Qh[CO4 mbZ)MY*U rf%GMIY.A qbDGMIY.A rg)GM%6Qd*^U qdGGMI*:Uh\
 sinGM(fOJ nbNGMI6 sd,%)(8C,&J7ZBe sj)%)(K8[Cf,O=bGj&J7ZBe)L9D-P>H sj2%)%I6Y\
Ad(K8[0S,O=b4W&J7ZBe)9]1->c5 si%/)*M(8[0CG sg</)%6YAd*(8[Cf,&7ZBe+)9]Dg-!p+<\
0).c n.<8G6YAd:^Eh(K0S,O4W js%%%%6Y.(8[0Cf,4&J7B)9]1Dg-5!jqD%%/g js/%%%I6Y.",
"Ad(,&7Z/Be)9]1Dg-5!jqM%%/g js)%%6Y.QAd(8[0Cf,=b4Gj7Z/RBe)9]1Dg->c5Hk!jqG%%/\
E" ),
Concatenation(
"%%%%%k89s/8-,8bFD8,,%c%%%%%%%%!}GD%>+ }uD%%I6YQAd(8[0Cf,=b4Gj&J7Z/Be)9]1Dg-\
>c5Hk!}fD%/g }t/%6Y.QAd*M:^Eh(K8[Cf=b4WGj7Z/RBe+N<aFi)L9]Dg>c5XHk }w/%%I6Y.Q\
Ad*M:^2UEh(K8[0SCf,O=b4WGj&7Z/RBe+N<a3VFi)L9]1TDg-P>5XHk }u/%6Y.QAd*M:^Eh8[0\
SCf,O=bGj7Z/RBe+N<aFi9]1TDg-P>cHk }x/%%6Y.QAd*M:^2Eh(K[0SCf,O=b4Wj&7Z/RBe+N<\
aFi)L1TDg-P>c5XH }t&%6Y(K80S,O=4W7Z)9]1->c5 }u&%Y.A(K8[,Ob7/RB)L9-P> zzE%6Y.\
:2U8[0=b4/RBe }eE%*M:^(K8[0SCf,O=b4WGj zuE%6YAd*M:^2U8C,O=b4W }t0%6Y.QAd*M:^\
Eh8[Cf=b4WGj7Z/RBe+N<aFi9]Dg>c5XHk }w0%6Y.QAd*M:^Eh(K8[0S,O4WGjZ/RBe+N<aFi)9\
]1T-P5XHk }t&D6Y80S,O=4W7Z9]1->c5 }u&D6d,Ob7/RB9-P> zzED6Y.:8[0=b/RBe }eED*M\
:^8[0SCf,O4WGj }t0D6Y.QAd*M:^Eh8[Cf=bGj7Z/RBe+N<aFi9]Dg>cHk }w0D.QAd*M:^Eh8[\
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