sml512.aq

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

SMALL_GROUP_LIB[ 512 ][ 43 ] := [
"%%%%%k89s08K,8b(D%%)%E%D%%%)%%!}PD.c!}uD0k!}xD0k!}t/0k!}w/0k!}u/0k!}x/0k!}t\
M0k!}wM0k!}uM0k!}xM0k!}t*0k!}w*0k!}u*0k!}x*0k!}tH0k!}eH/I",
"%%%%%k89s08K,8b(D8%)%E%D%%%)%%!}wH%6Q!}uH%0k!}xH%0k!}t3%0k!}w3%0k!}u3%0k!}x\
3%0k!}tQ%0k!}wQ%0k!}uQ%0k!}xQ%0k!}t%D0k!}w%D0k!}u%D0k!}x%D0k!}tDD0k",
"%%%%%k89s08K,8b%D/%)%E%D%%%)%%!}wD0k!}uD0k!}xD0k!}t/0k!}w/0k!}u/0k!}x/0k!}t\
M0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}tG09",
"%%%%%k89s08K,8b(D/%)%E%D%%%)%%!}kG6,!}wG0k!}uG0k!}xG0k!}t20k!}w20k!}u20k!}x\
20k!}tP0k!}wP0k!}uP0k!}xP0k!}t&0k!}w&0k!}u&0k!}x&0k!}%E.c",
"%%%%%k89s08K,8b(D8,)%E%D%%%)%%!}tED5P!}wED0k!}uED0k!}xED0k!}t0D0k!}w0D0k!}u\
0D0k!}x0D0k!}tND0k!}wND0k!}uND0k!}xND0k!}t)/0k!}w)/0k!}u)/0k!}x)/0^",
"%%%%%k89s08K,8D(D%))%E%D%%%)%%!{Q%-b!}tD0k!}wD0k!}uD0k!}xD0k!}t/0k!}w/0k!}u\
/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}f)/g",
"%%%%%k89s08K,8D&D8))%E%D%%%)%%!}o%/g!}tD0k!}wD0k!}uD0k!}xD0k!}t/0k!}w/0k!}u\
/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)3Y!}o)3X",
"%%%%%k89s08K,8b(D8,)%c%b(%%)%%!}tHQ%3Y!}nHQ%3X!}t3Q%3Y!}n3Q%3X!}u3Q%0k!}x3Q\
%0k!}uQQ%3Y!}oQQ%3X!}t%%D0k!}w%%D0k!}u%%D0k!}x%%D0k!}tD%D0k!}wD%D0k!}uD%D0k!\
}xD%D0k!}t/%D0k!}w/%D0k!}&/%D.c",
"%%%%%k89s08K,8b(D%%)%&%%&%%)%%!}u/5P!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t*0k!}w\
*0k!}u*0k!}x*0k!}tH0k!}wH0k!}uH0k!}xH0k!}t30k!}w30^",
"%%%%%k89s08K,8b(D8%)%&%%&%%)%%!{P3%-b!}u3%0k!}x3%0k!}tQ%0k!}wQ%0k!}uQ%0k!}x\
Q%0k!}t%D3Y!}n%D3X!}u%D0k!}x%D0k!}uDD3Y!}oDD3X!}t/D0k!}w/D0k!}u/D3Y!}o/D3X!}\
tMD3Y!}nMD3X!}t)D0k",
"%%%%%k89s08K,8D(D8,)%&%%&%%)%%!}w&%0k!}u&%0k!}x&%0k!}tE%0k!}wE%0k!}uE%0k!}x\
E%0k!}t0%0k!}w0%0k!}u0%0k!}x0%0k!}tN%0k!}wN%0k!}uN%0k!}xN%0k!}t)D09",
"%%%%%k89s08K,8b(D%,)%&%b&%%)%%!}k*D6,!}w*D0k!}u*D0k!}x*D0k!}tHD0k!}wHD0k!}u\
HD0k!}xHD0k!}t3D0k!}w3D0k!}u3D0k!}x3D0k!}tQD0k!}wQD0k!}uQD0k!}xQD0k!}%%/.c",
"%%%%%k89s08K,8%%D%%)%&%D&%%)%%!}t%5P!}w%0k!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}x\
D0k!}t/0k!}w/0k!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0^",
"%%%%%k8v}18jh8b(D8,,%&%b(%%,%%!vQQND3D-b!v[l/03D1.!v[3/03D3X!v[lM03D0k!v[oM\
03D0k!v[lN03D1.!v[3N03D3X!v[l/N3D0k!v[o/N3D0k!v[lMN3D1.!v[3MN3D3X!v[l0N3D1.!\
v[30N3D3X y:b)%%%%I.QMU8[Cf=GJ/R+N3V)9]1TDg-P>c5XHk y:e)%%%.QMU(8[0SCf,=4GRN\
3V)9]1TDg-P>c5XHk y:J*%%%MU(8[0SCf,=4GV)9]1TDg->5H w9beD%%6Y.QAd^E[0Cf4G y:)\
)/%%Q*M:^2UEhSCf,=b4WGj y:,*/%%Mh8[Cf=GV]TDg-5XHk w9beM%%6Ad0f4G x&D*=%%%IY.\
QA o(e)kD%%YQdh o9e)V/%%6UE y:b)%)%%I.QMU(K8[0SCf,=4G&J/R+N3V)L9]1TDg-P>c5XH\
k y:e)%)%%I.QMU(K8[0SCf,=4G&J/R+N3V)L9]1TDg-P>c5XHk y:J*%)%%I.QMU(K8[0SCf,=4\
G&J/RNV)L9]1TDg->5H y:b)D)%IY.QAd*M:^2UEh(K8[,O=bJZ/RBeNaVi)L9]-> y:bGD)%%I6\
Y.QAd*M:^2UEh(K8[,O=b&J7Z/RBeNaVi)L9]-> y:%fD)%IY.QAdM^Uh(K8[,=&J7Z/RBeNaVi)\
L9]-> y:,)/)%.QAd*M:^2UEh(K8[0SCf,O=b4WGj/RBe+N<a3VFi)L9]1TDg",
Concatenation(
"%%%%%k8Vj/8,J8b(D8,,%c%b%%8%%%!{G)%D-b }hG%D.QAdM:^2UEh(K8[0SCf,O=b4WGj/RBe\
N<a3VFi)L9]1TDg-P>c5XHk }t2%D.A2E(K8[,O=b/B3F)L9]-P>c }u2%D.A*:2E(K8[,O=b/B+\
<3F)L9]-P>c }tP%D.A2E(K8[,O=b/B3F)L9]-P>c }uP%D.A*2E(K8[,O=b/B<3F)L9]-P>c }t\
%DDM^(K8[0SCf,=4GNa)L9]1TDg-P>c5XHk }w%DDM^(K8[0SCf,=4GN)L9]1TDg-P>c5XHk!}SD\
DD.. WAADD*M:^2Eh(K }h)DD2E8[0SCf,O=b4WGjNa3F9]1TDg-P>c5XHk }JGDD6Y.QAd*:^2U\
Eh8[0SCf,=b4WGj WACDD,O=b4WGj&J }t&DDUh0SCf,=4GNaV1TDg->5XHk }MEDD.QAd*:2E W\
ABDD*M:^2Eh(K }t*DD2E0SCf,b4WGjNa3F1TDg-c5XHk }VHDD.QAd*2UEh0SCfb4WGj!WA3DD-\
b }t)/D.QAdUhSf,=/ReVTg-> }w)/D.QAdUhSf,=/ReVTg-> w}2/D%I6YQd*M:^Uh,O=bWj&J7\
ZRe+N<aVi-P>cXk y]+MD%I6Y.A*M:^Uh(K8[0C,O=bWj&J7Z/B+N<a3VFi)L9]1D ya%)D%I6Y.\
QAd*M:^2UEhK80SfO=4GjRB3VFTD5XH w]t)D(K8[0SCfO=WG7Z ya/)DAdE8[CfG35 wJz)D=bG\
jJZ ya))D.AM^2E0C4G/B1D yVw)DObZ/Ba3F ya2)D[0Cb4G3F5H PJP)D%I }t%&/%I.Q8[CfJ\
/R+3)9]1TDg->5H }w%&/.Q(8[0SCfR3)9]1TDg->5H vX/&/6Y.A^[C }e)&/Q*:2ESCf=4G }h\
G&/M8[CfV]TDg5H :X2&/IYE pY5*/%6U }t%&M%I.Q(K8[0SCf&J/R+3)L9]1TDg->5H }w%&M",
"%I.Q(K8[0SCf&J/R+3)L9]1TDg->5H }t/&MIY.QAd*:2E(K8[,=JZ/RBe)L9] }u/&M%I6Y.QA\
d*:2E(K8[,=&J7Z/RBe)L9] }h)&M.QAd*:2E(K8[0SCf,=4G/RBe+<3F)L9]1TDg->5H }hG&M.\
QM2U(K8[0SCf,=4G/RN3V)L9]1TDg->5H }t2&M.A2E(K8[,=/B3F)L9]-> }u2&M.A*:2E(K8[,\
=/B+<3F)L9]-> }dP&M.A2E(K8[,O=b/B3F)L9]-P>c }]%EM%I6Y.QAd(K8[0SCf,=4G&J" ),
Concatenation(
"%%%%%k8zj/8,h8bdD8,,%c%b%%8,%% y>G%EM6Y.QAd(K8[0SCf,=4G y<g/EM6Y.QAd*:2E8[0\
SCf,=4G7/B+<a3VFi91D->c5XHk x>+9EM%I6Y*M:^2E&J7Z/B+N<a3F)L9]1TDg x>w%*M%I6Y.\
A*M:^2EK80O=G35 x<gb*M(K8[O=7ZB<aF =>yD*MCGJN Z+ek*M%I6YM^Uh vAb)%%%6Y.Ad*:^\
(8[/RB+<a3VF)L9] vC/)%%6Y*:^E(K+<F)L vAM)%%A*M:^2E(K0S vAc)%%*Eh(K8[<a3V)L9]\
 tCl)%%Ad*Mf,O+N d)ve%%Gj&J v>%G%%Ad*M:^2EhKfObj tAd*D%%.Ad*M:+N<-P>c!b+0*D%\
+H v,t)/%%6Y.*:^0SC,O=b7Z+N v.k)/%,OB+N3V v+%G/%%IAdMh v:b))%%6Y.*:^K8[0O=b/\
RBe+N<a3VFiT>c5X v:/))%6Y*M:^Eh,O=G v:b2)%6:T>X :8/2)%I.Qd vA8)%D%.Ad*M:(8[,\
O=+N<3)L-P vB/)%D*M:2(K, vAM)%D*M:^2E(K0S,O4W tAu)%D%*M:^2UEh,O=b4WGj&J+N d>\
l)%D6Y.QAd(K0S,O4W v:(G%D%I*M:^2UhK,b4+N<a3VF-cX tAd)DD%.QA*:^2UE&+N<a3VFi-P\
>c5XHk dCl)DD%I*M:^2UEh+N3V-P5X v:(GDD%I*M:^2UEh(,O=b4WGj&J) vA8)/D%.Ad(K8,=\
b)L-P d>k)/D*M2(K8[0SCf b(%ezD0Sf4WG& v:8))D.Ad*M:K0Cf,Ob+N<a3V-P>c5X v1M))D\
%I6Y.A*M:^UE b(9))D%I.QAd :8v2)DY.0SC4W) vAb)%/%6Y.Ad(8[,=/RB)L9]-> tC/)%/6Y\
*M2,O4 vAM)%/A(K0S,4 v>(G%/%IAdKf+NFi tA%*D/%*M:2E v(t))/%6Y.M:^20SCfW7Z v(",
"t2)/6W7 v(t)2/%6Y.^0SCW7Z vAb)&/%6.A(8[,=/B)L9]-> vAk)&/6(K,B)L1T-5 v>(G&/%\
IAKf+NF tA%*E/%*M:2E v(t)*/%6.:0CW7 v(t)3/%6.0CW7 vAb)%M6YAd(K8[,=/R)L9]1TDg\
->5H vC/)%M6Y(K0S,7)L-5 v.8G%M6YAd*MEh8[Cf,OGj7Be<9Dgc vA9G%M6YAd,OGj7Bec k(\
:GDM%I6.A*M2!t<%*DM,s v(t))M6Y0S7Z< :%t<eMKCON v(t)2M6Y0S7Z< /&/)PMA v:b)%)%\
6Y.Ad*:^,O=/RB+N<a3VFi v:k)%)6Y*M:^,=bBe+N<a3VFi v1c)%)%IAdMEh8[0S=W t:%*D)%\
.QA2Eh v(t)/)%6Y.M:^2[0SCfW7Zea v(t2/)6W7 v(t)))%6Y.AdM:^2Eh0SCfW7ZDk v(t2))\
6AW7 v%%+w),O&7Z/ v(t)2)0SCj7Z v]b)%%%6Y*:^2Eh(8[&7Z/RB+<a3VF)L9] va/)%%%6YA\
*:^E(K&7B+<F)L v]M)%%%I6Y.A*M:^2E(K0S tD&)%%%6Y" ),
"%%%%%k8<j/8,,8bFD8,,%&%b%%%%%% }hD%.Ad*:^Eh(K8[7ZB+3V)L9] }uD%%6Y.A:^2E(K&7\
Z/B<a3F)L }fD%6YA*M2(K0S }t/%%I6Y.QAd*M:^2UEh(K8[0Cf,O=b4WGjJ7Z/Be+N<a3VFiL9\
]Dg-P>c5XHk }d&%%*:^2(K8&+<aF)L Cl&%%.Qd* }hE%%.(K8&/R<aF)L9] huE%%6.Q*:2 }8\
0%%I.Q*M:^2UEh(K0SO=b4WGj vhcD%.Ad*M:&+N<) }eED.Q:^E(K8[ huED6.Q:2 }80D%I.Q*\
M:^Eh(K0S,=bGj vj%/%Ad*:^,O=b&Be }u%/E(K&<F)L hj8/4WGj&J7Z }t//:^Eh(K0=bGjJ/\
<aFiL>cHk }d&/*2(K8+)L dv9/=47Z i80k6YQAd*M2 }A%)%6Y*^2K8[O4&J7Z/RBe+N<a3VFi\
)9]1TD->c5XH }9%)%I6YAd*M^h(K8C,O }AD)%6Y.dK8[0JeNi]1c5 z9D)%I6Y.QAd*M:2UE }\
A))69T>X }(e)(8C,7)9TD }d%&%6Y*M:2UE(8[,O=&J+N)9]D-P>5 }l%&%I*(80,=bG!}f%&*x\
!zjD&/p }iD&2U(K8[0C,O=b4G&J/R)L9]1D zoD&%I.Q*M:^2E!}t/&0k!}tM&0k }bbE%6Y*M:\
2UE(8[,O=&J7Z)L9]1TDg zjDE(K8[0SCf,O=b4WGj+<3VFi }iDE,=4WGj&J/R)91TDg zoDE%I\
.Q*:2UEh!}t/E0k!}tME0k }d%0%6Y.Ad*M:2UE(K8,=b&J+N)L91->cH }l%0%I*(8C,O=4!}f%\
0*x!}t/00k!}bM0/T",
Concatenation(
"%%%%%k8<j/8,,8bFD8,,%c%b(%8%%%!}tM/D>&!}t/MD0k!}tMMD0k }t%)D%6Y*M:2UE(8,=4G\
&J7Z+N<a3VFi)9->5H }u%)D%I6YAd*M:^2U(8,=&J7Z/R+N<F)9D->5 }x%)D%I.Q*M2U(8,=&J\
7Z/RBe+N<a3VFi)91D->5H }AD)D%I6Y.QAd*M:^2UEh(K8[0SCf&J7Z/RBe }wD)D(0,4&J7Z/R\
Be+N<a3VFi)91D->5H }BD)DIM([O=&J7Z/RBe+N<a3VFi }xD)D(80C&J7Z/RBe+N<a3VFi)91D\
->5H }d))D%6Y*M:2UE(8,=4G&J7ZBe+N<a3V)9-> }f))D%I.Q*M2U(8,= zzG)D8S&J7Z/RBe+\
3 }gG)D,4&J7Z/RBe+N<a3VFi)91D }bb%/%6Y*:^2(8[&7Be)L9] zvD%/(8Cf,=&7ZBe+<a uE\
D%/%6Y }t/%/%I6Y.QAd*M:^2UEh(K8[SCf,O=b4WGj&7ZRBe+N<a3VFi)9]Dg-P>c5XHk vtc%/\
%.Ad*M:2UE&+N)-P tdu%/,4WGj&J }8l%/.Q*M:^2UEh(K0S,O=bWGj&J/R<a3VFi)L1T>c5Hk \
}b8//%:^(8[&J/R<aFi)L1>cHk }k///I.:^EhK=bGj }b9//*(K8+N3V i8l//.QA:^h }8b)/%\
6Y*^2(8[O4&J7Z/RBe)L91TD z9D)/%6Y.d*:^U z(e)/6K80C= }d%%)%6Y.Ad:E(8[,=&7Z)9]\
 tv8%),=4WG&J7Z }8k%).QAd*M:^2UEh(K8[0SCfO=b4Gj7ZBe+N<a3VFi }DM%)%6Y.Ad:^Eh \
}d&%)%.2(K8,=&)L9 tv9%),4G&J j8l%)6Y.AM:^2E(K8[Cf vt9D)%*M:2E&J/)1 b%vh)Gj& \
}:%))6Y.*:2(80O=b4&7Z+N<a)9-P> }()))%6.:(8,=b }:%2)6Y*287Z+9-P }d%&)%6Y.Ad:",
"E(8[,=&7Z)9] }8k&)%I6Y.QAd*M:^2UEh(K8[0SCf,=bWGj7ZBe+N<a3VFi }DM&)I6YQAd:^E\
h }d&&)%.2(K8,=&)L9 j8l&)%I6Y.A*:^2E(K8[Cf vt9E)%*M:2E&J/L1 b%vi)Gj& }:%*)6.\
*:2(80=b&7+N<a C:%3)I.AMK0 8&%%2%I" ),
Concatenation(
"%%%%%k8wj/8,,8bFD8,,%&%%(%8,%% tzD%MYAd*:^2UE(8,O= vj)%M%I6Y.QAd*M:^2UEh(K8\
[0SCf,O=b4WGj7ZBe+N<a3VFi9]Dg-P>c5XHk vv2%M6YAd*M:^2UEh(K8[0SCf=bGj7ZBe<aFi)\
L1T-P5X tzDDM%*M:2Eh(,= dj<DM%I6Y.A*M:^2E(8Cf,=Gj&J7ZBe)LDg dj<MM6Y.:^28=7Z \
thFcM%6Y.Ad*:2E(80Cf7Z/B thDfM6Y.:2C vz%%)%6Y*:^2Eh(8[,=b4Gj&J7+<a3Fi9]-P>5X\
H!vu%%)/g vzD%)%I6Y*:^Eh(8[Cf,O=b&7/+N<)L9]->c5!vuD%)/g vz/%)%I6Y.QAd*M:^2UE\
h(K8[0SCfO=b4WGj&J7Z/RBe+N<a3VFiL9]1Dg>c5Hk v{/%)%I6Y.QAd*M:^2UEh8[Cf,O4W&J7\
Z/RBe+N<a3VFi9]Dg-P5X vzM%)6YAd:^Eh(K8[0SCfO=b4WGj7ZBe<aFi)9]TDg>c5Hk v{M%)%\
I6Y.QAd*M:^2UEh8[Cf,O4W&J7Z/RBe+N<a3VFi9]Dg-P5X vz%D)%6Y*M:2U(K,=b4&7Z+<a3)>\
c5 vzDD)%6YAd*M:^(K,=bGj&J7+<F)L-> vC/D)%I.Q*M2U(K0S,4W&J7Z/RBe v{/D)*M:^2UE\
h(K0S=bGj&J7Z/RBe+N<a3VFi)L1T>cHk dAMD)%I.QAd*M2Uh vz%M)%6Y*M:2U(K,=b&7Z+<a3\
)>c vC/M)%I*M(KO&J7Z/RBe v{/M)*M:^2UEh(K0S=bGj&J7Z/RBe+N<a3VFi)L1T>cHk!c5MM)\
+H vz%))%6YAd*:2(=b&7B+N<a3VL> tzD))%6Y.QAd*MEh(80SCf,Gj vtc))%6YAd*:2=b&7Z+\
N<a)>c vz%G)%I6Y.Q*:2,O4W&7/+<a3 tzDG)%I6Y.Ad2U(80C4W vhcG)(80,=b4&J7Z+<a 8",
"zEG)A*M:^E vqb&)%6*:^2EhK8[,=4G&J7Z+<a)9]-> vkc&)6*:^2Eh(8[,=b vqbE)%*M:^2U\
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*:^2Eh(8[,O=b&J7/Be+N<3Fi)L9]-P>c yzD%%%I*M(8[0C,=b4G&J+N)L91D-P>5H yuD%%%I.\
Q*M2U(K8" ),
"%%%%%k8Yj/8,,8bFD%%%%&%%%%%%%% }H%Y.A*M:^2E zjD%I6Y.QAd*M:^2UEh(K8[0SCf,O=b\
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Ad*M:^2UEh(K8[0SCf,O=b4WGj&J/R+N<a3F z{G(K0S,O=b4G&J/R }fG*M2U(K8[0C,O=b4G!}\
t20k!}tP0k }h&%I6Y*M:^2UEh(K8[,O=b4WGj&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk!}u&*y\
!}x&*y!}hE0k!}uE*y!}xE*y!}t00k!}u00k!}tN0k!}uN/r",
"%%%%%k8Yj/8,,8%FD8%%%&%%%%%%%%!}lP=c }t&%6Y*M:^(8[,=b4Gj&7Z+N<a)L9-P>5XH!}e\
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