SmallGrp-1.4.1/small7/sml512.dc

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

SMALL_GROUP_LIB[ 512 ][ 107 ] :=
[ 44, 22, 29, 67, 61, 28, 34, 39, 52, 29, 32, 22, 34, 85, 106, 37, 53, 55,
  71, 28, 31, 48, 25, 52, 61, 100, 111, 40, 93, 25, 31, 14, 112, 52, 49, 37,
  39, 50, 50, 40, 71, 67, 40, 28, 93, 89, 111, 76, 67, 40, 111, 106, 93, 106,
  106, 89, 111, 40, 57, 85, 32, 32, 111, 43, 17, 103, 88, 37, 50, 45, 45, 12,
  49, 48, 106, 55, 48, 55, 115, 66, 32, 32, 75, 40, 79, 24, 100, 29, 70, 106,
  106, 111, 93, 106, 85, 55, 88, 46, 55, 32, 111, 106, 106, 85, 93, 106, 106,
  100, 93, 100, 100, 111, 106, 106, 57, 89, 57, 88, 64, 111, 111, 111, 100,
  85, 100, 100, 100 ];

SMALL_GROUP_LIB[ 512 ][ 108 ] := [
 Concatenation(
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[%/%0%/%1%0%40Ahc%1%2%4*951N&%D%D%E0O%D%Ec+.Oa:eJ%2%3%2%3*K%3%4%ELd>YAmCl%F4\
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3Q[(Pc9%e(P%G&Zc,8,%f%g%h(Pc,7Waq.b%g%f%g%g(P<<(Ys}MuE6%G&[&[c+7V0>.QieU6d>^\
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"%]N&%^%^(Ot&MO(Of5%a%a(Ot-%e(Pt%.O1Z%c%d52b(%c%d%d(Pt&7V.O0N%o1d%o%p0I%p%p%\
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 Concatenation(
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 Concatenation(
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Afefe[nZ%XAffffXAfgfgZ%XAfhfhXAfifi",
 Concatenation(
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Ykb",

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OcWXGcOcPgtZ%XGcPcQXGcQcRUlZ.cWcXcW[nZ%XGcRcSXFcSJHcTcTZ%XAcUcUXAcVcVgt[ncaZ\
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e[nZ(XGcecfcfZ(XGcfcgcg",

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sjfjfjgjgnU[ncaZ4jXUsjYjYq2j[jjcaZ-jZXGjZj[Z/j]j]p{Z/jhjhjjnUgt[ncap{Z&Rqj^j\
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sk&k&cagt[nkTZ%XAk)k)XAk*k*k0kTZ&XAk+k+k,k0JMk.[nnhk.k0k]k/k0gt[nkfk,k0Z&Rqk\
-k-k.kUZ/k/k/k0",

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q*k*kRhO8*l*lO8*m*mgtcaX5UjO1RjK+*s*t*t*tO0G=RiI2*uK+*u*v*v*u*vUy*v*wX5UjRhK\
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(RiO8+++++,X7RhOA+(+)O1E&+)+*+*+,nU[ngtkS^m(ocaUjX6Rq+-+-+/Rq+.+.UjX7Rw+/+0+\
1OA+0+1caJuX7UkO8+<+<+=+=+<X5Us+A+ARq+B+B^f(pUjX5Rq+2+2RhOA+4+5OA+5+6RiJ}+3+\
3+4^]LfkSh,(k(lXG(l(m)&gtX7Uy+=+>+>X5UjRv+6J}+7+7Rq+8+8RhO8+9+9O8+:+:gt^]Ldk\
d(mUy(n(ocj)()(UjX5RhO/J}+C+CJ}+D+DO/J}+E+EJ}+F+FRv+IO8+J+JX6RhO8+G+GO0GF+H+\
H+I+Kca^f(nX5UjRhK++K+LOA+L+MRw+M+NUlK++N+O+O^m(nX5UjRhK++O+PK++P+QRw+Q+RDpO\
/JuUz+R+S+SUs+S+S+S",

"ca[ngtnUX5RhUjO>+SI4+T+TO6+VI:+V+WUjO8+U+UOA+W+XUjO/K++X+YK++Y+ZO/K++Z+[K++\
[+]kUUlRiO8,),),*,*,.kSX5UkRq+p+p+qJtUz+q+r+rUkO6,(XA,(,(,)gtnUkSX5RhUy+]+aU\
lO8+^+^+aUkO8+b+b+cX5A}+z+{Uy+{+}UjRiO8,+,+,,OA,,,-X5UlRw+r+s+sUjO0J}+t+t+uO\
1K++u+v+v[nkSgtX5RhUx+cOA+d+eUq+dOA+e+fnUUjO/K++f+gI:+g+hO1K++h+i+iUy,-,.X5U\
s+w+wUjO0I4+x+x+yO0K++y+z+zUjO/K++},%XH+},%XF+}O8,&,&X5RhUs+j+kUkOA+j+k+lnWU\
jO/K++l+mI:+m+nO>+nJ}+o+o,.",

"gt9zkS[w)&({caXA(}(}XA)%)%[ncaX5UkRq5P5P5QOA5Q5RX5UlRw5W5X5XO85Y5YkScaUjX5R\
jK+5R5S5SRhOA5U5VOA5V5WRiJ}5T5T5UUjX5Rq5Z5ZRhO85]5]O85^5^Rq5[5[caX5UkRq5m5m5\
nOA5n5oX5Uy5o5pOA5p5qcakS[nX5Us5a5aO85b5bUjX5Rq5c5cRhO85e5eO85f5fRq5d5dX5Uy5\
q5rOA5r5s:*(}kS[nX5O1Ur5g5h5gO85h5hUjX5Rq5i5iRhO85k5kO85l5lRq5j5jX5RiUz5s5t5\
tOA5t5u",

"caX5UjRhO/K+5u5vK+5v5wO/K+5w5xK+5x5yRhO/K+5y5zK+5z5{O/K+5{5}K+5}6%UjRhO/Ju:\
i6%6&6&J}6(6(O/J}6)6)J}6*6*RhO/J}6+6+J}6,6,O/J}6-6-J}6.6.X5UjRhO/J}6/6/J}606\
0O/J}6161J}6262RhO/J}6363J}6464O/J}6565J}6666UjRhO/J}6767J}6868O/J}6969J}6:6\
:RhO/J}6<6<K+6=6>O/K+6>6AK+6A6B",

"4S9za:coCugvX6UsCvCvCwCwN=gtca[nX6UjRqFLFLO8FMFMFNUlX6RwFNFOFPFOX5UjRqFPFPR\
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8E)E)UjO8E(E(O8E*E*UjO/J}E+E+JzE,<FE,E-O/K+E-E.K+E.E/X5RhUjK+E/E0K+E1E2UjOAE\
0E1OAE2E3UjO/K+E3E4K+E4E5O/K+E5E6K+E6E7",

"gt4S9zaECxN=X6I-DqRpF]F^F]F]F^ca[nX5UjRwE7E8RwE8E9UjK+E9E:K+E:E<X5UjRwE<E=R\
j<FE=E>E>UjJ}EAEAJ}EBEBX5RhUjO8ECECO8EEEEUjO8EDEDO8EFEFRhUjJ}EGEGJ}EIEIUjJ}E\
HEHJ}EJEJca4dN=X5RhUjO8EKEKO8EMEMUjO8ELELO8ENENUjO/J}EOEOJ}EPEPO/J}EQEQJzER<\
FERESX5RhUjK+ESETK+EUEVUjGLETEUGLEVEWUjO/K+EWEXK+EXEYO/K+EYEZK+EZE[",

"4Sca9zO/X7UyCxCzCzUkX7RqCyCyCzCzUjX5RhO1K+F^FaFaO/J}FbFbI4FcFcRjOAFfFgFgX6R\
hO6FdI:FdFeOAFeFfFhgtUjRhO1K+FhFiFiO0I4FjFjFkRwFkFlUjRhO/K+FlFmK+FmFnOAFnFoR\
wFoFp[nX5UjRhO/K+E[E]K+E]E^O/K+E^EaK+EaEbRhO/K+EbEcK+EcEdO/K+EdEeK+EeEfUjRhO\
/K+EfEgK+EgEhO/K+EhEiK+EiEjRhO/Ju<FEjEkEkJ}ElElO/J}EmEmJ}EnEnX5UjRhO/J}EoEoJ\
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}EzEzRhO/J}E{E{J}E}E}O/J}F%F%J}F&F&",

"[nX5UjRhO/J}F(F(Jt:cF)F)F*O/K+F*F+K+F+F,RhO/K+F,F-K+F-F.O/K+F.F/K+F/F0UjRhO\
/K+F0F1K+F1F2O/K+F2F3K+F3F4RhO/K+F4F5K+F5F6O/K+F6F7K+F7F8X5UjRhO/K+F8F9K+F9F\
:O/K+F:F<K+F<F=RhO/K+F=F>K+F>FAO/Ju<FFAFBFBJ}FCFCUjRhO/J}FDFDJ}FEFEO/J}FFFFJ\
}FGFGRhO/J}FHFHJ}FIFIO/J}FJFJJ}FKFK",

"ca8i2eOn%%%&MH*^nhCzC{nUX5UjRhO/K+292:K+2:2<O/I:2<2=K+2=2>RhO/K+2>2AK+2A2BO\
/K+2B2CK+2C2DUjRhO/K+2D2EK+2E2FO/K+2F2GK+2G2HRhO/K+2H2IK+2I2JO/K+2J2KK+2K2LU\
jRhO/K+4b4cK+4c4dO/K+4d4eK+4e4fRhO1K+4f4g4gO/J}4h4hK+4i4j8i2s%%MA^n(k*^XGCzC\
{nUX5UjRhO>2]J}2^2^O62aK+2a2bRhO/K+2b2cK+2c2dO>2dK+2e2fUjRhO/K+2f2gK+2g2hO/K\
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*4uO84v4vJz4wOA4w4x",

"canU8w(kX5UjRhO/I92LJ}2M2MK+2M2NO>2NJ}2O2ORhO/J}2P2PJ}2Q2QO/J}2R2RJ}2S2SUjR\
hO/J}2T2TJ}2U2UO/J}2V2VJz2W:i2W2XRhO/K+2X2YK+2Y2ZO/K+2Z2[K+2[2]8w(kUjRhO/K+4\
j4kK+4k4lO/K+4l4mK+4m4nRhK*4nO84o4oO0J}4p4p4qnUX5UjRhO>2nJ}2o2oO62pK+2p2qRhO\
/I:2q2rK+2r2sJuOA2s2t2tUjRhO/J}2u2uJ}2v2vO/J}2w2wJ}2x2xRhO/J}2y2yJuI42z2z2zO\
/J}2{2{J}2}2}UjRhO1K+4x4y4yO/J}4z4zJ}4{4{RhJz4}OA4}5%K*5%O85&5&",

"[n8i2gOn%%%&C{nUUjO/RhJ}3e3eJt:c3g3g3hX5Rv3aJ}3b3bRhJ}3f3fK+3h3iX5RhJ}3c3cJ\
}3d3dO/RhK+3i3jK+3k3lRhK+3j3kK+3l3mUjRhK+5=5>K+5>5ARhK+5A5BI:5B5CnU8iMJ*^C{U\
jO/RhK+3p3qJ}3s3sX5Rw3m3nRhJu:i3q3r3rJ}3t3tX5RhK+3n3oK+3o3pO/RhJ}3u3uJ}3w3wR\
hJ}3v3vJ}3x3xUjRhK+5C5DK+5D5ERw5E5F",

"[n8w%%nUUjO/RhK,3{3}J}4&4&X5Rq3y3yRhJ}4%4%J}4(4(X5Ro3zK+3z3{O/RhJ}4)4)J}4+4\
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1K+4243X5JtRq4.4.4/O/RhK+4344K+4546RhK+4445K+4647UjRjK+5I5J5JRq5K5K",

"[nnU8iOu%%%&X5UjRhO63%K+3%3&O>3&J}3(3(RhJtO83)3)3*JuOA3*3+3+UjRhO/J}3,3,J}3\
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/K+393:K+3:3<O/K+3<3=K+3=3>RhO/K+3>3AK+3A3BO/K+3B3CK+3C3DUjRhO0J}5.5.5/O1K+5\
/5050RhJ}5151Jz52I:5253",

"[n2ec3%%%%nUUjO/RhJz49:i494:K+4<4=XF47RhK+4:4<K+4=4>X5Rq4848O/RhK+4>4AK+4B4\
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L4LX5Rw4D4ERhJ}4K4KJ}4M4MJuRw5M5N5N",

"[n8w%%nUX5UjRhK*3D:c3E3EJ}3F3FRhJtO83G3G3HK+3H3IUjO/RhK+3I3JK+3K3LRhK+3J3KK\
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[K+3]3^RhK+3[3]K+3^3aUjRhJ}5858O0J}59595:RhK+5:5<K+5<5=",

"8w%%UjnU[nO/RhK+4N4OK*4P:c4Q4QRhK+4O4PJ}4R4RO/RhJ}4W4WJ}4Y4YRhJ}4X4XJ}4Z4Z[\
w5O5O[nO/RhJ}4S4SJ}4U4URhX=4NJ}4T4TX=4NJ}4V4VO/RhJz4[:i4[4]K+4^4aRhK+4]4^X=4\
WK+4a4b",

"8i4ScaXF6BI46C6CXA6D6DcaX5UlRw6N6O6OO86P6PX5UjRq6Q6QRq6R6RRhO86S6SO86T6TcaX\
5UjRhO/K+9}:%K*:%:c:&:&O/J}:(:(J}:):)RhO/J}:*:*J}:+:+O/J}:,:,J}:-:-UjRhO/J}:\
.:.J}:/:/O/J}:0:0J}:1:1RhO/JuI4:2:2:2J}:3:3O/J}:4:4J}:5:5X5UjRhO/J}:6:6J}:7:\
7O/J}:8:8J}:9:9RhO/J}::::J}:<:<O/Jz:=:i:=:>K+:>:AUjRhO/K+:A:BK+:B:CO/K+:C:DK\
+:D:ERhO/K+:E:FK+:F:GO/K+:G:HK+:H:I",

"ca8i4SX5RjUr6E6F6ERq6F6FX5UkRq6U6U6VOA6V6WX5UjRhO/K+:I:JK+:J:KO/K+:K:LK+:L:\
MRhO/K+:M:NK+:N:OO/K+:O:PK+:P:QUjRhO/K+:Q:RK+:R:SO/K+:S:TK,:T:URhO/J}:V:VJ}:\
W:WO/J}:X:XJ}:Y:YX5UjRhO/J}:Z:ZJ}:[:[O/J}:]:]J}:^:^RhO/J}:a:aJ}:b:bO/J}:c:cJ\
}:d:dUjRhO/J}:e:eJ}:f:fO/J}:g:gJ}:h:hRhO/J}:i:iJ}:j:jO/J}:k:kJ}:l:l",

"gt[nX5UjRhO0Dx:m:m:nOA:n:oRhOA:o:pOA:p:qUjRhK+:q:rK+:r:sRhK+:s:tK+:t:u8i4]6\
G6WX5UjRhOA:u:vOA:v:wRhOA:w:xOA:x:yUjRhK+:y:zK+:z:{RhK+:{:}K*:}:c<%<%[nX5UjR\
hOA<7<8OA<8<9RhOA<9<:OA<:<<UjRhK+<<<=K+<=<>RhK+<><AK+<A<B8p6HX5UjRhOA<B<COA<\
C<DRhOA<D<EOA<E<FUjRhK+<F<GK+<G<HRhK*<H:c<I<IJ}<J<J",

"gt[nX5UjRhO8<&<&O8<(<(RhO8<)<)O8<*<*UjRhJ}<+<+J}<,<,RhJ}<-<-J}<.<.8i4d6GX5U\
s6X6XRq6Y6YX5UjRhO8</</O8<0<0RhO8<1<1O8<2<2UjRhJ}<3<3J}<4<4RhJ}<5<5Jt:c<6<6<\
7[nX5UjRhO8<K<KO8<L<LRhO8<M<MO8<N<NUjRhJ}<O<OJ}<P<PRhJ}<Q<QJ}<R<RUjX5RhO8<S<\
SO8<T<TRhJ}<W<WJ}<X<XX5RhO8<U<UO8<V<VRhJt:c<Y<Y<ZK+<Z<[",

"8i4SX5O1JtRx6H6I6I6IJtRq6J6J6KcaX5O0J}6Z6Z6[UlO1I:6[6]6]6]X5UjRhJ}6^6^O86a6\
aRhJ}6b6bO86c6cUjRhJ}6d6dO86e6eRhJ}6f6fO86g6g[nX5UjRhO/K+<[<]K+<]<^O/K+<^<aK\
+<a<bRhO/K+<b<cK+<c<dO/K+<d<eK+<e<fUjRhO/K*<fI4<g<gK+<g<hO/K+<h<iK+<i<jRhO/K\
+<j<kK+<k<lO/K+<l<mK+<m<nX5UjRhO/K+<n<oK+<o<pO/K+<p<qJu:i<q<r<rRhO/J}<s<sJ}<\
t<tO/J}<u<uJ}<v<vUjRhO/J}<w<wJ}<x<xO/J}<y<yJ}<z<zRhO/J}<{<{J}<}<}O/J}=%=%J}=\
&=&",

"[n8iX5O1Rw6K6L6LJtRq6M6M6NX5UjRhO/J}=(=(J}=)=)O/J}=*=*J}=+=+RhO/J}=,=,J}=-=\
-O/J}=.=.J}=/=/UjRhO/K+=0=1K+=1=2O/K+=2=3K+=3=4RhO/K+=4=5K+=5=6O/K+=6=7K+=7=\
8UjX5RhO/K+=8=9K+=9=:O/K+=:=<K+=<==RhO/K+=C=DK+=D=EO/K+=E=FK+=F=GX5RhO/K+===\
>K+=>=AO/K+=A=BK+=B=CRhO/K*=G:c=H=HJ}=I=IO/J}=J=JJ}=K=K",

"[nUjX5RhO/J}=L=LJ}=M=MO/J}=N=NJ}=O=ORhO/J}=T=TJ}=U=UO/J}=V=VJ}=W=WX5RhO/J}=\
P=PJ}=Q=QO/J}=R=RJuI4=S=S=SRhO/J}=X=XJ}=Y=YO/J}=Z=ZJ}=[=[UjX5RhO/J}=]=]Jz=^:\
i=^=aO/K+=a=bK+=b=cRhO/K+=g=hK+=h=iO/K+=i=jK+=j=kX5RhO/K+=c=dK+=d=eO/K+=e=fK\
+=f=gRhO/K+=k=lK+=l=mO/K+=m=nK+=n=o",

"[nUjX5RhO/K+=o=pK+=p=qO/K+=q=rK+=r=sRhO/J}=x=xJ}=y=yO/J}=z=zJ}={={X5RhO/K+=\
s=tK+=t=uO/K,=u=vJ}=w=wRhO/J}=}=}J}>%>%O/J}>&>&J}>(>(X5UjRhO/J}>)>)J}>*>*O/J\
}>+>+J}>,>,RhO/J}>->-J}>.>.O/J}>/>/J}>0>0UjRhO/J}>1>1J}>2>2O/J}>3>3Jt:c>4>4>\
5RhO/K+>5>6K+>6>7O/K+>7>8K+>8>9",

"kSMA2eA7Mw:i%5%F%E%G8E(q(qgtcaX5UjRiGFC}C}D%RwD%D&RhK+D&D(K+D(D)X5UjRwD)D*R\
wD*D+RhK+D+D,K+D,D-X5UjO/K+D-D.K+D.D/O/K+D/D0K+D0D1RhO/K+D1D2K*D2:cD3D3O/J}D\
4D4J}D5D52eMuUx%558%G%F:W=u%4%Ec,5u%EeX%F%4%ER9%5%FgtcaX5O8D6D6UsD7D7X5UjO8D\
:D:RqD<D<UjRqD=D=RqD>D>X5RhO/J}DADAJ}DBDBO/J}DCDCJ}DDDDUjRhO6DE<FDEDFOADFDGR\
hOADGDHOADHDI",

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