PermutationGroup<513 |  
\[1,3,2,6,7,4,5,11,12,14,8,9,18,10,20,21,23,13,25,15,
16,29,17,31,19,33,34,35,22,38,24,41,26,27,28,46,47,30,50,
51,32,54,55,57,59,36,37,62,63,39,40,67,68,42,43,72,44,74,
45,76,77,48,49,81,82,84,52,53,87,88,90,56,93,58,96,60,61,
100,101,103,64,65,107,66,109,111,69,70,115,71,117,118,73,
121,122,75,125,126,128,78,79,132,80,114,134,136,83,139,85,
142,86,144,145,104,89,148,91,92,152,153,94,95,157,158,97,98,
161,99,138,163,165,102,168,105,171,106,173,129,108,175,151,
110,178,112,113,182,183,116,185,186,141,119,120,191,192,194,
123,124,198,199,127,201,130,204,131,206,207,133,210,211,135,
213,137,216,140,218,219,143,222,196,224,146,147,228,149,150,
232,233,234,235,154,155,238,156,240,180,242,159,160,246,162,
248,249,164,252,166,167,255,256,169,170,260,172,244,262,174,
265,176,177,267,268,179,271,181,241,273,275,184,278,279,266,
187,188,189,190,282,283,193,286,195,225,197,289,214,291,200,
294,202,203,298,270,205,285,301,208,209,277,305,307,212,310,
215,312,313,217,231,220,221,317,251,223,290,226,320,227,322,
257,229,230,326,328,236,237,293,253,239,334,335,243,272,245,
338,284,247,339,340,342,250,344,345,254,348,349,351,258,347,
259,354,355,261,358,263,264,361,362,363,269,365,366,274,364,
276,368,369,371,280,374,281,376,377,379,381,382,287,288,383,
385,292,295,296,389,297,391,299,300,394,306,302,303,398,304,
400,401,308,309,397,405,311,407,409,314,315,316,321,318,319,
414,323,324,418,325,419,412,327,421,329,330,417,331,425,332,
333,336,428,337,408,429,430,341,420,343,434,435,346,438,439,
356,350,442,352,353,445,446,447,357,449,359,386,360,452,453,
373,456,367,458,459,378,370,372,390,375,464,465,466,380,463,
468,384,387,388,467,454,471,392,393,475,476,395,396,478,460,
399,480,481,402,403,404,472,406,477,483,410,411,432,469,413,
484,415,416,441,485,487,426,422,423,424,431,427,455,489,433,
448,491,486,436,437,450,440,494,443,444,497,451,457,461,474,
462,492,470,498,473,488,503,479,504,501,482,490,508,510,496,
511,493,495,509,512,513,499,505,500,502,506,507],
\[2,4,5,1,8,9,10,3,13,15,16,17,6,19,7,22,24,20,26,27,
28,11,30,12,32,14,18,36,37,39,40,42,43,44,45,21,48,49,23,
52,53,25,56,58,60,51,61,29,64,65,66,31,69,70,71,33,73,34,
75,35,78,79,80,38,83,46,85,86,41,89,91,92,94,95,97,98,99,
47,102,104,105,106,50,108,110,112,113,114,54,116,55,119,120,
57,123,124,59,127,129,130,131,62,133,63,135,137,138,140,141,
67,143,68,146,147,96,149,150,151,72,154,155,156,74,115,159,
160,76,162,77,164,166,167,169,170,81,172,82,174,125,84,176,
177,179,180,181,87,88,184,90,187,188,189,190,93,193,195,196,
197,139,200,191,202,203,100,205,101,208,209,103,212,185,214,
215,107,217,109,220,221,111,223,225,226,227,229,230,231,117,
118,233,236,235,237,121,239,122,241,243,244,245,126,247,128,
250,251,253,254,240,132,257,258,259,134,261,136,263,264,219,
266,175,142,269,270,144,272,145,274,276,277,148,171,262,280,
152,281,161,153,284,285,267,287,157,288,158,290,292,293,295,
296,297,163,299,300,165,302,303,304,168,306,308,309,311,186,
173,314,222,315,194,316,178,265,318,319,271,182,321,183,323,
324,325,327,329,330,331,192,332,333,207,334,336,198,337,199,
298,326,201,341,343,246,204,346,347,206,350,352,328,210,353,
211,356,357,213,359,360,216,218,364,338,273,224,367,335,286,
228,370,372,373,232,375,234,378,380,238,322,242,275,384,386,
387,388,354,248,390,249,392,393,252,395,396,397,255,399,256,
402,403,404,260,382,406,408,410,368,411,366,268,412,413,415,
416,417,278,383,279,294,420,305,422,423,282,424,283,426,310,
427,289,379,291,317,431,409,432,433,428,436,437,301,440,441,
430,443,444,400,307,340,448,394,445,450,312,451,313,454,455,
363,457,320,361,460,461,462,446,463,447,449,385,459,467,371,
344,469,470,339,342,472,473,474,345,405,477,452,348,349,479,
351,401,358,374,376,355,377,482,389,466,456,362,365,484,468,
425,458,369,486,488,485,434,438,439,381,414,476,398,490,391,
464,492,493,429,465,491,495,496,475,407,498,453,421,418,499,
419,500,501,502,435,481,489,442,505,506,507,509,494,471,478,
512,503,480,513,483,510,487,511,508,504,497]: Order:=5515776>
