1 #############################################################################
2 ##
3 #W  sml512.i               GAP library of groups           Hans Ulrich Besche
4 ##                                               Bettina Eick, Eamonn O'Brien
5 ##
6 
7 SMALL_GROUP_LIB[ 512 ][ 9 ] := [
8 "%%%%%kV8j/9,,8b%D%%%%&%D%%%)%%!}xD8A }t/%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&7Z\
9 /RBe+N<)9]1TDg-P> }w/%I6.QAd*M:(8[0SCf,=b&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk!}u\
10 /0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!\
11 }fG/.",
12 "%%%%%kV8j/9,,8b%D8%%%&%D%%%)%%!}xG8A }k2%6Y.QAd*M:(8[0SCf,O= }e2%I6.QAd*M:(\
13 8[0SCf,=b!}u20k!}x20k!}tP0k!}wP0k!}uP0k!}xP0k!}t&)9!}w&)9!}u&0k!}hE0k!}uE0k!\
14 }h00k!}tN)9 }wN%6.Q*M:(8[0S,=&7/R+N<a3V)L9]1T->5X!}uN0k!}t*)9 }e*%6.Q*M:^2U(\
15 K8[0S,=",
16 "%%%%%kV8j/9,,8b(D/%%%&%D%%%)%% }w)4W&7/R+N<a3V)L9]1T->5X!}u)0k!}hG0k!}uG0k!\
17 }h20k!}tP)9 }eP%6.Q*M:(8[0S,=!}uP0k!}t&)9!}w&)9!}u&0k!}hE0k!}uE0k!}h00k }wN%\
18 6.Q*M:^2U(K8[0S,=4W&7/R+N<)9]1T->!}uN0k!}t*)9!}w*)9!}u*0k!}bH/Q",
19 "%%%%%kV8j/9,,8b(D8,%%&%D%%%)%%!}hHD:=!}uHD0k!}h3D0k }nQD%6.Q*M:(8[0S,=!}uQD\
20 0k!}t%/0k!}w%/0k!}u%/0k!}x%/0k!}tD/0k!}wD/0k!}uD/0k!}xD/0k }t//%6Y.QAd*M:(8[\
21 0SCf,O=&J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk }w//%I6.QAd*M:(8[0SCf,=b&J7Z/RBe+N<a\
22 3VFi)L9]1TDg-P>c5XHk!}uM/0k!}xM/0k!}%)/.E",
23 "%%%%%kV8j/9,,8b%D8)%%&%D%%%)%%!}t)8X!}w)0k!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!}x\
24 G0k }h2%6Y.QAd*M:(8[0SCf,O=&J7/RBe+N<)9]1TDg->c!}uP0k!}xP0k!}t&0k!}w&0k!}u&0\
25 k!}x&0k!}tE0k!})E.E",
26 "%%%%%kV8j/9,,8%(D8,,%&%D%%%)%%!}wED8X!}uED0k!}xED0k!}tND0k }wND%I6.QAd*M:(8\
27 [0SCf,=b&7Z/RBe+N<)9]1TDg-P>!}t*D0k!}w*D0k!}u*D0k!}x*D0k!}tHD0k!}wHD0k!}uHD0\
28 k!}xHD0k }wQD%6Y.QAd*M:(8[0SCf,O=&J7/RBe+N<)9]1TDg->c }t//%I6Y.QAd*M:^2UEh(K\
29 8[0SCf,O=b4WGj&7Z/RBe+N<)9]1TDg-P> }w//%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&J7/R\
30 Be+N<)9]1TDg->c!}u//0f",
31 "%%%%%kV8j/9,,/b%D8%)%&%D%%%)%%!xN%+j!}x%0k!}tD0k!}wD0k!}uD0k!}xD0k }q/%6Y.Q\
32 Ad*M:(8[0SCf,O=&J7/RBe+N<)9]1TDg->c!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t)0\
33 k!}w)0k!}tG0k }wG%6Y.QAd*M:(8[0SCf,O=&J7/RBe+N<)9]1TDg->c!}cG/.",
34 "%%%%%kV8j/9,,8b(D8,,%&%b(%%)%%!}uMH%8A!}xMH%0k!}t0H%0k!}w0H%0k }wNH%%I6.QAd\
35 *M:(8[0SCf,=b&7Z/RBe+N<)9]1TDg-P>!}uNH%0k!}xNH%0k }t/3%%6Y.QAd*M:(8[0SCf,O=&\
36 J7Z/RBe+N<a3VFi)L9]1TDg-P>c5XHk }w/3%%I6Y.QAd*M:^2UEh(K8[0SCf,O=b4WGj&J7/RBe\
37 +N<)9]1TDg->c!}uM3%0k!}xM3%0k }b23%%6Y.QAd*M:(8[0SCf,O= }n23%%I6.QAd*M:(8[0S\
38 Cf,=b!}uP3%0k!}xP3%0k!}tMQ%)9 }wMQ%%6.Q*M:^2U(K8[0S,=4W&7/R+N<)9]1T->!}tPQ%)\
39 9 }nPQ%%6.Q*M:(8[0S,= }wNQ%%6.Q*M:(8[0S,=&7/R+N<a3V)L9]1T->5X }eQQ%%6.Q*M:(8\
40 [0S,=!}b%%D/.",
41 "%%%%%kV8j/9,,8b%D%%%%&%%&%%)%%!}t%8A!}w%0k!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}x\
42 D0k!}t/0k!}w/0k!}u/.p!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}%).E",
43 "%%%%%kV8j/9,,8b(D%%%%&%%&%%)%%!}t)8X!}w)0k!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!}x\
44 G0k!}t20k!}w20k!}i2.p!}o2/g!}tP0k!}wP0k!}uP0k!}xP0k!}t&/u",
45 "%%%%%kV8j/9,,8b&D%%%%&%%&%%)%%!}k%73!}w%0k!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}x\
46 D0k!}t/0k!}w/0k!}u/0M!}tM0k!}wM0k!}uM0k!}xM0k!}t)0k!}e)/X",
47 "%%%%%kV8j/9,,8b(D8%%%&%%&%%)%%!}w*%8o!}u*%0k!}x*%0k!}tH%0k!}wH%0k!}uH%0k!}x\
48 H%0k!}t3%0k!}w3%0k!}03%.c!}tQ%0k!}wQ%0k!}uQ%0k!}xQ%0k!}t%D0k!}w%D0k!}u%D0T",
49 "%%%%%kV8j/9,,8b%D/%%%&%%&%%)%%!}N%7,!}x%0k!}tD0k!}wD0k!}uD0k!}xD0k!}u/0k!}x\
50 /0k!}tM0k!}wM0k!}uM.p!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}tG0F",
51 "%%%%%kV8j/9,,8b(D/%%%&%%&%%)%%!}kG8W!}wG0k!}uG0k!}xG0k!}u20k!}x20k!}tP0k!}w\
52 P0k!}iP.p!}oP/g!}t&0k!}w&0k!}u&0k!}x&0k!}tE0k!}wE0k!}uE0k!t*E+j",
53 "%%%%%kV8j/9,,8b&D/%%%&%%&%%)%%!}xD76!}u/0k!}x/0k!}tM0k!}wM0k!}uM0M!}t)0k!}w\
54 )0k!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!}xG0k!}u20k!}x20f",
55 "%%%%%kV8j/9,,8b(D8,%%&%%&%%)%%!xQ3D+j!}tQD0k!}wQD0k!}0QD.c!}t%/0k!}w%/0k!}u\
56 %/0k!}x%/0k!}tD/0k!}wD/0k!}uD/0k!}xD/0k!}u//.p!}x//0k!}tM/0k!}wM/0k!}t)/0k!}\
57 w)//u",
58 "%%%%%kV8j/9,,8b(D%)%%&%%&%%)%%!}n)73!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!}xG0k!}i\
59 2.p!}o2/g!}tP0k!}wP0k!}t&0k!}w&0k!}u&0k!}x&0k!}tE0k!}wE0f",
60 "%%%%%kV8j/9,,8b(D8)%%&%%&%%)%%!xPE%+j!}uE%0k!}xE%0k!}u0%0M!}tN%0k!}wN%0k!}t\
61 *%0k!}w*%0k!}u*%0k!}x*%0k!}tH%0k!}wH%0k!}uH%0k!}xH%0k!}03%.c!}tQ%0k!}wQ%0k!}\
62 t%D/u",
63 "%%%%%kV8j/9,,8b%D/)%%&%%&%%)%%!}k%73!}w%0k!}u%0k!}x%0k!}tD0k!}wD0k!}uD0k!}x\
64 D0k!}uM.p!}xM0k!}t)0k!}w)0k!}u)0k!}x)0k!}tG0k!}wG0k!}cG/X",
65 "%%%%%kV8j/9,,8b(D/)%%&%%&%%)%%!}uG8o!}xG0k!}iP.p!}oP/g!}t&0k!}w&0k!}u&0k!}x\
66 &0k!}tE0k!}wE0k!}uE0k!}xE0k!}uN0M!}t*0k!}w*0k!}u*0k!}x*0k!t%H+j",
67 "%%%%%kV8j/9,,8b(D8,,%&%%&%%)%%!}tHM76!}wHM0k!}uHM0k!}xHM0k!}0QM.c!}t/)0k!}w\
68 /)0k!}u/)0k!}x/)0k!}tM)0k!}wM)0k!}uM).p!}xM)0k!}t2)0k!}w2)0k!}u2)0k!}x2)0F",
69 "%%%%%kV8j/9,,/b(D%%)%&%%&%%)%%!}o/8W!}tM0k!}wM0k!}iM.p!}oM/g!}t)0k!}w)0k!}u\
70 )0k!}x)0k!}tG0k!}wG0k!}uG0M!}t20k!}w20k!}u20k!}x20k!}tP0k!}eP/.",
71 "%%%%%kV8j/9,,/b(D8%)%&%%&%%)%%!}wP8A!}0P.c!}t&0k!}w&0k!}u&.p!}x&0k!}uE0k!}x\
72 E0k!}t00k!}w00k!}i0.p!}o0/g!}uN0k!}xN0k!}t*0k!}w*0k!}u*0M!}uH0f",
73 "%%%%%kV8j/9,,/b(D8,)%&%%&%%)%%!xNH%+j!}xH%0k!}t3%0k!}w3%0k!}9o%5O!}uQ%5P!}x\
74 Q%0k!}t%D0k!}w%D0k!}uDD.p!}xDD0k!}t/D0k!}w/D0k!}iMD.p!}oMD/g!}t)D0k!}w)D0k!}\
75 uGD0M!}t2D/u",
76 "%%%%%kVAj/9,,8b(D8,,%&%%(%%,%%!zw*HM73!z{*HM0k!zeQHM.c!zzG3M.p!z{G3M0k!zvH3\
77 M.p!zxH3M/g!zzGQM0M!zeHQM.c {z%%%%6.A2E(8[0Cf&7/B+<3F)L9]1TDg!{{%%%))!{zD%%)\
78 )!{{D%%))!{z/%%))!{{/%%))!{zM%%))!{{M%%))!{v)%%0k!{vG%%0k {v&%%%6.A2E(8[0Cf&\
79 7/B+<3F)L9]1TDg!{x&%%)(!{zE%%))!{{E%%))!{z0%%))!{{0%%))!{zN%%))!{{N%%))!{t*%\
80 %/.",
81 "%%%%%kV<j/9,,8b(D8%%%&%%%%%%%%!}h2%8A!}i2%0k }t&%%6.A*:2E(K8[0SCf&7/B3F)9]1\
82 Dg!}u&%))!}x&%))!}tE%))!}wE%))!}uE%))!}xE%))!}h0%0k!}i0%0k }k*%%6.A2E(8[0Cf!\
83 }u*%))!}x*%))!}tH%))!}wH%))!}uH%))!}xH%))!}h3%0k!}i3%0k!}t%D))!}w%D)) }tDD%6\
84 .A2E(8[0Cf&7/B+<3F)L9]1TDg!}wDD))!}uDD))!}xDD))!}b/D/I",
85 "%%%%%kV<j/9,,8b(D8,%%&%%%%%%%%!}h/D6Q!}i/D0k!}t)D))!}w)D)) }hGD%6.A2E(8[0Cf\
86 &7/B+<3F)L9]1TDg!}nGD)(!}uGD))!}xGD))!}h2D0k!}i2D0k!}t&D))!}w&D)) }tED%6.A*:\
87 2E(K8[0SCf&7/B3F)9]1Dg!}uED))!}xED))!}h0D0k!}i0D0k!}t*D))!}w*D)) }kHD%6.A2E(\
88 8[0Cf!}uHD))!}xHD))!}h3D0k!}i3D0k }t%/%6.A2E(8[0Cf&7/B+<3F)L9]1TDg!}e%/)(",
89 "%%%%%kV<j/9,,8b(D8)%%&%%%%%%%%!}n%%)(!}uD%))!}xD%))!}h/%0k!}i/%0k }h)%%6.A2\
90 E(8[0Cf&7/B+<3F)L9]1TDg!}n)%)(!}uG%))!}xG%))!}h2%0k!}i2%0k }t&%%6.A*:2E(K8[0\
91 SCf&7/B3F)9]1Dg!}uE%))!}xE%))!}h0%0k!}i0%0k }k*%%6.A2E(8[0Cf!}uH%))!}xH%))!}\
92 h3%0k!}i3%0k }tDD%6.A2E(8[0Cf&7/B+<3F)L9]1TDg!}wDD))!}h/D0k!z&/D-b",
93 "%%%%%kV<j/9,,8b(D8,,%&%%%%%%%%!}i/M6. }hGM%6.A2E(8[0Cf&7/B+<3F)L9]1TDg!}nGM\
94 )(!}h2M0k!}i2M0k }tEM%6.A*:2E(K8[0SCf&7/B3F)9]1Dg!}h0M0k!}i0M0k }kHM%6.A2E(8\
95 [0Cf!}h3M0k!}i3M0k }t%)%I6Y.Ad2Eh(K8[0Cf4Gj&J7Z/RB3VF)L9]1Dg5Hk!}w%)0k!}u%)0\
96 k!}x%)0k }tD)%I6Y.Ad2Eh(8[0SCf,=b&J7Z/RB3VF)9]1TDg->c!}wD)0k!}uD)0k!}xD)0k }\
97 b&)%I6Y.QA2UE(K",
98 "%%%%%kV<j/9,,8b(D8%,%&%b%%%%%% }t&/8[0Cf4Gj&J7Z/Be3Fi)L9]1Dg5Hk!}u&/0k!}x&/\
99 0k }tE/%I6Y.QA2UE(8[0SCf,=b&J7Z/Be3Fi)9]1TDg->c!}uE/0k!}xE/0k }t%M%I6Y.Ad2Eh\
100 (8[0SCf,=b&J7Z/RB3VF)9]1TDg->c!}w%M0k }tDM%I6Y.Ad2Eh(K8[0Cf4Gj&J7Z/RB3VF)L9]\
101 1Dg5Hk!}wDM0k }t&M%I6Y.QA2UE(8[0SCf,=b&J7Z/Be3Fi)9]1TDg->c }tEM%I6Y.QA2UE(K8\
102 [0Cf4Gj&J7Z/Be3Fi)L9]1Dg5Hk }t%)%.*2(K8[0SCf&/3)9]1TD!}w%)(*!}u%)(*!}x%)(*!}\
103 tD)(*!}wD)(*!}uD)(*!}xD)(*!}h/)0k!}i/)0k }k))%.2(8[0SC!}w))(*!}u))(* }x))%.*\
104 2(K8[0SCf&/",
105 "%%%%%kV<j/9,,8b(D8%%%&%D%%%%%% }o)%*2(K8[0SCf!}tG%(*!}wG%(*!}uG%(*!}xG%(*!}\
106 h2%0k!}i2%0k }t&%%.2(K80Cf&/+3)L9]1TDg!}u&%(*!}x&%(*!}tE%(*!}wE%(*!}uE%(*!}x\
107 E%(*!}h0%0k!}i0%0k }d*%%.2(K80Cf&/+3)L9]1TDg }l*%%.*2(K8[0SCf!}x*%(*!}tH%(*!\
108 }wH%(*!}uH%(*!}xH%(*!}h3%0k!}i3%0k!}t%D(*!}w%D(*!}tDD(* }wDD%.*(K80Cf&/+3)L9\
109 ]1TDg!}uDD(*!}xDD(*!}h/D0R",
110 "%%%%%kV<j/9,,8b(D8,%%&%D%%%%%%!}G/D=a!}i/D0k!}t)D(*!}w)D(*!}tGD(* }eGD%.*(K\
111 80Cf!}uGD(*!}xGD(*!}h2D0k!}i2D0k!}t&D(*!}w&D(* }wED%.*2(K8[0SCf&/+)9]1TD!}uE\
112 D(*!}xED(*!}h0D0k!}i0D0k!}t*D(*!}w*D(* }nHD%.*(8[0SC!}uHD(*!}xHD(*!}h3D0k!}i\
113 3D0k }t%/%.2(K80Cf&/+3)L9]1TDg!}w%/(*!}uD/(*!}xD/(*!}h//0k!}c///e",
114 "%%%%%kV<j/9,,8b(D8)%%&%D%%%%%%!}i/%>D }h)%%.2(K80Cf&/+3)L9]1TDg }n)%%.*2(K8\
115 [0SCf!}uG%(*!}xG%(*!}h2%0k!}i2%0k }t&%%.*2(K8[0SCf&/3)9]1TD!}uE%(*!}xE%(*!}h\
116 0%0k!}i0%0k }k*%%.2(8[0SC!}uH%(*!}xH%(*!}h3%0k!}i3%0k!}tDD(* }wDD%.*2(K8[0SC\
117 f&/+)9]1TD!}h/D0k!}i/D0k!}tGD(* }nGD%.*(8[0SC!}h2D0k!}i2D0k }wED%.*(K80Cf&/+\
118 3)L9]1TDg!}b0D/8",
119 "%%%%%kV<j/9,,8b(D8,,%&%D%%%%%%!}h0M=H!}i0M0k }eHM%.*(K80Cf!}h3M0k!}i3M0k!}t\
120 %)0k!}e%)/g!}u%)0k!}x%)0k!}tD)0k }wD)%6Y.QAd*M:(K8[0Cf4WG&7Z/RBe+N<)L9]1TD5H\
121 k!}uD)0k!}xD)0k!}e&)/g!}u&)0k!}x&)0k }wE)%I6.QAd*:^(K8[0Cf4WG&J7/RBe+<a)L9]1\
122 TD5Hk!}uE)0k!}xE)/u",
123 "%%%%%kV<j/9,,8b(D8%,%&%b(%%%%%!}oE273 }t%P%I6Y.Ad2UE(K80SCf,=b&J7Z/Be3VF)9]\
124 1TDg-P>!}w%P0k!}hDP0k!}nDP/g }t&P%I6Y.QA2Eh(K80SCf,=b&J7Z/RB3Fi)9]1TDg-P>!}b\
125 EP/g!}t%&(a!}w%&(a!}u%&(a!}x%&(a!}tD&(a!}wD&(a!}uD&(a!}xD&(a!}h/&0k!}i/&0k!}\
126 t)&(a!}w)&(a!}u)&(a!}x)&(a!}tG&(a!}wG&(a!}uG&(a!}xG&(a!}h2&0k!}i2&0k!}t&&(a!\
127 }w&&(a }c&&%6*:(K8[0SCf",
128 "%%%%%kV<j/9,,8b(D8%%%&%%&%%%%% }l&%%6*:(K8[0SCf!}x&%(a!}tE%(a!}wE%(a!}uE%(a\
129 !}xE%(a!}h0%0k!}i0%0k!}t*%(a!}w*%(a!}u*%(a!}x*%(a!}tH%(a!}wH%(a!}uH%(a!}xH%(\
130 a!}h3%0k!}i3%0k!}t%D(a!}w%D(a!}u%D(a!}x%D(a!}tDD(a!}wDD(a!}uDD(a!}xDD(a!}h/D\
131 0k!}i/D0k!}t)D(a!}w)D(a!}u)D(a!}x)D(a!:%GD+j",
132 "%%%%%kV<j/9,,8b(D8,%%&%%&%%%%% }tGD(K8[0SCf&7+<)L9]1TDg!}wGD(a!}uGD(a!}xGD(\
133 a!}h2D0k!}i2D0k!}t&D(a!}w&D(a!}u&D(a!}x&D(a!}tED(a!}wED(a!}uED(a!}xED(a!}h0D\
134 0k!}i0D0k!}t*D(a!}w*D(a!}u*D(a!}x*D(a!}tHD(a!}wHD(a!}uHD(a!}xHD(a!}h3D0k!}i3\
135 D0k!}t%/(a!}w%/(a!}u%/(a!}x%/(a!}tD/(a }wD/%6*:(K8[0SCf&7+<)L9]",
136 "%%%%%kV<j/9,,8b(D%)%%&%%&%%%%%!wPD+j!}uD(a!}xD(a!}h/0k!}i/0k!}t)(a!}w)(a!}u\
137 )(a!}x)(a!}tG(a!}wG(a!}uG(a!}xG(a!}h20k!}i20k!}t&(a!}w&(a!}u&(a!}x&(a!}tE(a!\
138 }wE(a!}uE(a!}xE(a!}h00k!}i00k!}t*(a!}w*(a!}u*(a!}x*(a!}tH(a!}wH(a!}uH(a }fH%\
139 6*:(K8[0SCf",
140 "%%%%%kV<j/9,,8b(D8)%%&%%&%%%%% }oH%%6*:(K8[0SCf!}h3%0k!}i3%0k!}t%D(a!}w%D(a\
141 !}u%D(a!}x%D(a!}tDD(a!}wDD(a!}uDD(a!}xDD(a!}h/D0k!}i/D0k!}t)D(a!}w)D(a!}u)D(\
142 a!}x)D(a!}tGD(a!}wGD(a!}uGD(a!}xGD(a!}h2D0k!}i2D0k!}t&D(a!}w&D(a!}u&D(a!}x&D\
143 (a!}tED(a!}wED(a!}uED(a!}xED(a!}b0D/X",
144 "%%%%%kV<j/9,,8b(D8,,%&%%&%%%%%!}h0M8o!}i0M0k!}t*M(a!}w*M(a!}u*M(a!}x*M(a!}t\
145 HM(a!}wHM(a!}uHM(a!}xHM(a!}h3M0k!}i3M0k!}t%)0k!}w%)0k!}u%)0k!}x%)0k!}tD)0k!}\
146 wD)0k!}uD)0k!}xD)0k!}t/)0k!t)/)+j",
147 "%%%%%kV<j/9,,8%(D%%)%&%%&%%%%%!}w/76!}u/0k!}x/0k!}tM0k!}wM0k!}uM0k!}xM0k!}t\
148 )0k!}w)0k!}u)0k!}x)0k!}tG0k!}wG0k!}uG0k!}xG0k!}t20F",
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348