1############################################################################# 2## 3#W sml512.dc GAP library of groups Hans Ulrich Besche 4## Bettina Eick, Eamonn O'Brien 5## 6 7SMALL_GROUP_LIB[ 512 ][ 107 ] := 8[ 44, 22, 29, 67, 61, 28, 34, 39, 52, 29, 32, 22, 34, 85, 106, 37, 53, 55, 9 71, 28, 31, 48, 25, 52, 61, 100, 111, 40, 93, 25, 31, 14, 112, 52, 49, 37, 10 39, 50, 50, 40, 71, 67, 40, 28, 93, 89, 111, 76, 67, 40, 111, 106, 93, 106, 11 106, 89, 111, 40, 57, 85, 32, 32, 111, 43, 17, 103, 88, 37, 50, 45, 45, 12, 12 49, 48, 106, 55, 48, 55, 115, 66, 32, 32, 75, 40, 79, 24, 100, 29, 70, 106, 13 106, 111, 93, 106, 85, 55, 88, 46, 55, 32, 111, 106, 106, 85, 93, 106, 106, 14 100, 93, 100, 100, 111, 106, 106, 57, 89, 57, 88, 64, 111, 111, 111, 100, 15 85, 100, 100, 100 ]; 16 17SMALL_GROUP_LIB[ 512 ][ 108 ] := [ 18 Concatenation( 19",a)(,*2.(K%Z%&<EljO>ljh,ldWQ%%9M%&Z5%%%%&77UI2%Grt%E%4X=%Fq2%6%&JH%%%%RhAtW\ 20Qr{WOOWk[Oh(YDo57(YZ6(X(Hp}Ur(O&Z%T2.5g3vLdpz[7Dq+M0P%6%70O%7%8%C57%GDx%F%C+\ 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33q(QSyMuNR7V.a(H(J(J27(Y(XGr.X(Y(M(NELLdMvc,bV%M(J(J(MMvb^%N(L(MLd^^c3%N(K%R^\ 34n%O%S" ), 35 Concatenation( 36"/c0t,a)(&8(Y(Hq2%6%&%%203x+M0P%6%70O%7%8%E%>Ld>Ys}TV20NRUmfdca0>1QGE&]&^A}&\ 37]&^GL&]&^f-G<Ana:.Oay%G&]0I&]&]&]&^&^&]&]%G&^Mwf4(R%r%t%v2.1Q,*e*%t%u0H%t%v,\ 383%v%w,:%v%wJz(R0>1SG<Ur&]&^&^&]k-&]Gd&](R&^M}(JTb(N(MTVUjO/NRRhG:<4Am9FJt7U5\ 3902.[ne)&q,*2(%H&q&riu%H&qar1V,*ak%G&q&q0O&q&r%G&r&qdy&rp{a:jQ%H&r&r&r2/[ne)&\ 40rcX%H&r&st&2,%G&r%G&s&r&sdr2.5e%G&s%G&t5B&s&tnW5^%H&sfr%H&t&s%I[ne)&tnWJt1b%\ 41H7VjDa:b)%H&t&u&t&u%I&tt&fenW2.gP%G&t.a&t&u&t&t&tKC%G&v%IAmdr529N&u&v&u9FJt7\ 42[25&uaL%H&u%H&u%I1b%HJ{&v%IJ{&v%IJt[}&vmza<8+%G&vgO%G&w&v&v%Icj%I%G,1%r2A%t%\ 43vNS9F<4DoG:7U2U%G&w&w[ne)&wp}53a9bV%I&w2>&w&x%I&x&wrmo-%G&w&w&w,S%G&z%I&zAm]\ 449%I&y%G&y]1%I&z%G&z2.E1%I&y%I&y5H%I&zaD%I&yDo<57U[ndy&xa:fdbU%I&x&x&xnVfd20b\ 45(%G&x&x&x&x[}&xfe552]%G&x&y%G&y&x&y,*BH%G&y%G&ze)&yaC%IA}&y&z%rNRO/JsG:Amdr,\ 46,[n0B.V&z207V<=&z&{&{&z&za955.O0l%G&z%G&z7U<e%G&z&{fr%G&{%G&{0BeP7V<=&z&{&{&\ 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288nZ&Usj/j/j0Z4j0Usj1j1[nZ/j2j2Z&Usj3j3j4gtca[wjMjMZ/jNjNcjjOjOgtpzca[nZ4j4Usj\ 2895j5Z/j6j6[nZ/j7j7Z&Rqj8j8j9cjjPjPp{ca[nZ5j9j:Z5j:j<[nZ5j<j=Z4j=J}j>j>jQ", 290 291"F)kSnU=}[pZ5ewexexcagt[nZ5eaebZ5ebecZ(]%eeefefZ%XGecedXGedeegtca>,ey[nZ/ege\ 292gZ/eheh>3eyZ%XAeieiXAejejca[nZ/ekekZ/elelZ%XAememXAenenca[n=}naeyeyZ%X=eoI:e\ 293oepXGepeq>,eyZ%XGeqerXGeres[n>3eyZ%XGesetXGeteuZ%XGeuevXGevewnUkS=}caZ%XAfjf\ 294jXAfkfk[wflflgtca[nZ5eyezZ5eze{Z%XGe{e}XGe}f%ca[nZ5f%f&Z5f&f(Z%XGf(f)XGf)f*=\ 295}ca[wfmfmZ/fnfnca[nZ%XGf*f+XGf+f,Z%XGf,f-XGf-f.[nZ%XGf.f/XGf/f0Z%XGf0f1X7I:f\ 2961f2f2kSgt>,foca[nZ/f3f3Z/f4f4Z%XAf5f5XAf6f6ca[nZ/f7f7Z/f8f8Z%XAf9f9XAf:f:ca[\ 297n>3foZ%XAf<f<XAf=f=>3foZ%XAf>f>XAfAfA[n>3foZ%XAfBfBXAfCfCZ%XAfDfDXAfEfE", 298 299"kSgtca[nZ%XAfFfFX6JHfGfGfHZ%XGfHfIXGfIfJ[nZ%XGfJfKXGfKfLZ%XGfLfMXGfMfNca[nZ\ 300%XGfNfOXGfOfPZ%XGfPfQXGfQfR[nZ%XGfRfSXGfSfTZ%XGfTfUXGfUfVgtca[nZ%XGfVfWXGfWf\ 301XZ%XGfXfYXGfYfZ[nZ%XGfZf[XGf[f]Z%X7I:f]f^f^XAfafaca[nZ%XAfbfbXAfcfcZ%XAfdfdX\ 302Afefe[nZ%XAffffXAfgfgZ%XAfhfhXAfifi", 303 Concatenation( 304"VGPwOfMu5gLd[7Js<<WPg{OhaqDx(YOhOhUjO0coOhbOay(YOhOhOiDocoOibO51ay(YOiOjOi5\ 3051cpOj(YOjNR(ZWO%E=PWQWPNSa9myDoIC)4QEax)4QF[}QEbOaw)4UyQEQFQEQEE<OWQEc:OWQEW\ 306PJsO/<>WPWOh,Oh(YX5O/t&E4(YOjbU(YOkOjDqI,GFOkOkOlOkcaAoDwOlOmOlbU(YOliebMc,D\ 307of-5COWOXOXlBOXOYWOc+Dpl2dt^hO^O^O^OaObWPbMc*^^lCOYO]OZ<>WPWO^]l2NdOZO]O[SzS\ 308TOZO[O[4SMu^]Ld9z833xJt[uP0bF(YP07aP0P0P1(Y(ZO8([([83X7UkO8P1P1P2P2QF82a9Jta\ 309qbNcgkYn[jxjK)4P0P0)4P0)4P0)4P0P0P0)4e)P0gIM5P0cbJtO0XG)5)6)6)6)6b[OXDpa:l9O\ 310^OaOaOb^m(Z828ikUnVguccXG)6)7)7)8)9)8cagvUok[*/*1*/*1*0kTO0X7Uy*/*0*0*0*1kSn\ 311Ucah-)E)GX6Us)F)F)GccXG)I)J)Jcah%)H)IGL)H)IMuUjJs<4DoAoaq:Y9UPUPVPVPUPX57PY:\ 312jPXPY509F7]PX27PWPX7aPWPW:jPVPXDo9G:YB%PYPZPZPZayP[PZJsDoRhI,<4:WAn7gP[P]Pb9\ 313UP]P^fe:YAuPaPbPaP^Pd<5Ao9OPgPgPhPh:W<6AuPbPdPc9UPbPcRj<4E%Pf5BPePfDqflPePdP\ 314fPhieb[OXDpl2dt^hO^O^O^OaOb^]NSb^OYOZO]NTbUOZO[O]PwMu<4JsDo7U50O/Uk:cPiPiPj2\ 3157P}P}An2/9FG=UrPjPkPjUyPjPkPkPtAo2/5APk9HUrPlPmPlPmPtf,2=Pu7aPvPv27PwPwDo7UU\ 316yPxPy2>PyPz27P{P{7U50UlGLPmPnPn2.UkG=9UPnPoPoPpDp9HUrPpPqPpPwJu2.57Pq9GUzPq", 317"PrPrDp57PuUl9UPrPsPsPxPzbM<EO]QTf,5COWOX[COXOXDvOXlCOXOYfcDodrl9O^OaaEOaOah\ 318ZObOb^fO^NeO[O]O/MwX5pFJsDo9F7]Q%AuQ&Q):Y5227Q&Q&Q&Q(:bQ+Q,Dq9FAvQ/Q05BQ/Q0Q\ 3190G:AmDo9F7W59Q%Q%Q%:W59Q&Q&7^Q(Q)9MQ+<6:X7aQ+Q+Q,Q,9MQ):Y7]Q)2>Q)Q*Q*Ao9F7gQ\ 320,Q-7gQ-Q.Q.G:Do9FAuQ=QA7fQ=27Q>Q>9Hq-QAQAQBQAAoDwQBQCQBObMwG:UjjBDoAn7W59Q1Q\ 3211Q2Q69F50<FQ6Q9bNAn<FQ6Q9Q9Q7:W7aQ7Q727Q8Q89F7U59Q1Q127Q2Q2:W7U59Q3Q359Q4Q47\ 322aQ5Q5Js9OQCQCDxQDQDI+DoAvQ9Q9AvQ:Q:DxQ<Q<Ob" ), 323 324"=}MuUjI+G:DoAm:X7W9NP3P4P3P4Jt9G:jP4P5P5P>RhJtAm<5:Y9UP5P6P6P7<FP7P8P>9Fq%:\ 325cPAPAPAPBA}PAPBJuRiDoAo<FP8P9P9f:P:AuP:P<PBP>X5JtRj9Ff<P<P<59P=P=PBPAGLPEPFR\ 326hE%PCA}PBPCI,<4J}PDPEBCPDPEK,PDPEPEieb[OXDpVIdr^al9O^OaO^Q/O^OaOaObbM^nOYOZN\ 327ST2OZO[O]G:I+UjDo<4Rh:W9F7gVmVn5BVnVo9F7UK,VoW=27VpVp59VqVqK,WAWEmxRqVtWA:W9\ 328MVr7gVrVs9F7W5BVsVtVt7aVuVumxAmJu9G<>VwVyVxW=Ju<FV{W%W=Am<4:W9OVvVv9MVw7gVwV\ 329x:hVx9G7aVyVyVz<4:hVz9G7aV{V{V}:W9OV}V}9OW%W%Do9F:hWH7aWJWJ7aWIWIAm<65>WKWKW\ 330OWK<>WLWLmxUjK,WDWG:X9OWMWMWNDo:W9G59W4W4W59F5BW5W65BW6W7Am9H:iW7W8W89G27W9W\ 3319W:RhDoI+mxJt<=W)W,W><4:W9MW&7gW&W(7fW(9G27W)W)W*:W9UW*W+7U5BW+W,9UW,W-mx9OW\ 332OWN9TW:59W<W<mxJs:W9VW-W.7fW.I-9UW/W0WO9F2/:aW><>W>W>WA:iW>WAAmI,<4:W9UW-W.7\ 333fW.9G27W/W/W0:iW0W1W=I-<4:Y9UW1W2W2:cW3W3W=JsbMI,<MWCWDWDWE:W9UWAWB9H7gWBWCW\ 334CI,ap:hWE[n207aWFWFWF207aWFWFWF<:AnE(WEWGWGWFWGWH", 335 336"nUkS82cagtUjX5RjK+-5-6-6RhOA-8-9OA-9-:RiJ}-7-7-8X5UjRq-F-FRq-G-GRhO8-H-HO8-\ 337I-I[nUjX5Rw-:-<RhO8->->O8-A-ARjA}-<-=-=X5UjRq-B-BRq-C-CRhO8-D-DO8-E-EcagtX5U\ 338kO8.(.(.)Rw.).*X5Uq.-Rw.-..Rv..O8././UjXF.*Rq.,.,I4.+.+ca82gt[nX5UkO8-J-J-KO\ 339A-K-LX5Uy-L-MOA-M-N[nX5Us-W-WO8-X-XX5Us-Y-YO8-Z-Zgt[w.0.0[w.2.2[n83X5UjRw-N-\ 340ORw-O-PRhO>-P:c-Q-QO8-R-R.184X5UjRq-S-SRq-T-TRhO8-U-UO8-V-V.1cagtX582UjO/J}-\ 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