PermutationGroup<704|
\[2,1,5,7,3,10,4,8,14,6,17,19,21,9,24,26,11,29,12,31,
13,34,23,15,37,16,40,28,18,44,20,47,49,22,52,36,25,56,57,
27,41,61,63,30,66,68,32,71,33,73,75,35,69,79,81,38,39,85,
87,89,42,62,43,93,86,45,97,46,53,101,48,104,50,107,51,110,
112,114,54,115,55,118,120,84,58,65,59,123,60,126,128,129,64,
94,133,135,67,138,99,140,70,143,144,72,147,106,74,150,151,
76,154,77,113,78,80,160,161,82,164,83,167,169,88,172,174,90,
177,91,92,130,181,183,95,185,96,187,137,98,139,100,193,194,
102,103,198,200,105,203,205,108,109,209,173,111,212,213,215,
217,219,116,117,223,225,119,228,229,121,232,122,235,237,124,
153,125,241,243,127,246,247,249,131,252,132,255,134,258,136,
260,262,264,266,268,141,142,272,274,276,145,251,146,279,281,
148,283,149,230,286,288,152,291,292,155,156,231,157,298,158,
299,159,302,303,222,162,290,163,308,310,165,166,206,214,168,
315,316,170,319,171,321,323,324,175,327,176,330,332,178,179,
336,180,339,199,182,341,343,184,346,257,186,350,188,352,189,
353,190,313,191,357,192,358,360,362,195,365,196,368,197,371,
289,201,374,202,377,204,379,381,207,384,208,278,224,210,211,
293,389,391,393,395,216,218,399,400,220,221,304,404,406,408,
226,410,227,412,414,265,314,233,234,420,422,236,425,238,387,
239,240,431,326,242,434,435,244,437,245,440,403,443,248,445,
354,250,449,253,342,254,453,455,256,347,459,461,259,386,261,
263,338,355,356,267,269,466,270,468,271,416,470,273,473,474,
275,477,479,277,482,464,280,480,456,282,486,284,488,285,491,
383,287,494,351,322,497,294,451,295,501,296,394,297,503,504,
485,300,301,506,507,334,305,510,306,512,307,444,309,516,311,
518,312,520,363,523,524,526,317,528,318,489,511,320,452,533,
535,536,521,325,538,433,328,329,439,331,543,436,333,513,547,
335,409,337,484,550,551,340,552,390,426,344,454,345,376,556,
557,348,558,349,560,530,373,465,359,481,361,566,364,545,569,
366,367,573,575,369,578,370,375,467,372,483,446,398,378,582,
380,423,490,382,492,584,385,586,588,388,563,590,500,392,539,
396,397,595,401,402,599,564,405,424,407,441,604,527,411,600,
413,607,415,430,608,417,418,525,419,515,421,529,463,531,603,
427,594,428,429,616,432,502,618,598,544,438,542,471,615,442,
622,624,447,448,450,626,627,628,457,458,460,620,462,633,631,
498,509,589,469,576,636,472,570,610,572,475,639,476,567,577,
478,579,644,581,487,643,493,649,495,647,496,565,499,648,655,
593,534,505,657,659,541,508,517,661,634,532,514,666,656,519,
522,609,571,668,612,671,614,546,537,617,540,674,559,621,548,
623,549,625,553,554,555,629,630,562,681,561,602,683,568,686,
638,574,680,641,672,583,580,645,689,587,591,585,690,670,652,
693,685,592,606,596,658,597,664,601,682,663,660,676,605,697,
611,695,651,613,642,699,619,700,665,677,679,678,640,632,662,
635,684,654,637,687,698,646,650,703,692,653,701,669,696,667,
688,673,675,694,702,691,704],
\[3,4,6,8,9,11,12,13,15,16,18,20,22,23,25,27,28,1,30,32,
33,2,35,36,38,39,41,42,43,45,46,48,50,51,53,54,55,5,58,
59,60,62,64,65,67,69,70,7,72,74,76,77,78,80,82,83,84,86,
88,10,90,91,92,94,95,96,98,99,100,102,103,105,106,108,109,
111,113,14,26,116,117,119,121,122,118,79,61,124,125,127,17,
130,131,132,134,136,137,19,139,141,142,73,145,146,148,47,149,
21,152,153,155,156,157,158,159,24,162,163,165,166,168,170,
171,173,175,176,178,114,179,180,182,29,184,186,71,188,189,
190,191,192,31,195,196,197,199,201,202,204,206,207,208,147,
210,211,34,214,216,218,220,221,222,224,226,227,37,230,231,
233,234,236,238,239,40,240,242,244,245,87,248,250,251,253,
254,256,257,44,259,261,263,265,267,269,270,271,273,275,277,
278,135,258,280,75,282,49,284,285,287,289,290,164,293,294,
295,296,297,52,228,300,301,203,304,305,306,252,307,309,110,
311,312,283,313,314,56,317,318,57,320,322,213,325,326,328,
329,331,333,334,335,337,338,63,340,81,342,344,345,347,348,
349,247,351,66,150,354,355,219,356,68,330,359,361,363,364,
366,367,369,370,372,194,373,375,376,115,378,380,382,383,385,
352,243,386,387,241,388,390,392,394,396,397,398,128,138,401,
402,403,405,407,409,389,85,411,413,415,416,417,418,419,421,
423,424,426,427,428,429,430,432,433,374,89,151,436,438,439,
441,442,444,310,446,447,448,450,451,93,452,454,456,457,458,
460,462,404,341,463,464,97,279,453,465,358,377,467,381,469,
198,471,472,101,475,476,478,480,481,461,483,484,104,485,140,
120,487,489,490,107,492,493,262,495,496,498,499,391,500,172,
292,112,502,455,505,440,501,183,232,508,509,276,511,406,513,
514,515,169,517,466,519,357,521,522,302,525,527,323,410,336,
529,530,531,532,534,123,468,537,299,539,393,540,541,443,542,
126,544,545,546,548,549,187,353,129,408,507,494,553,554,482,
488,400,551,555,286,133,533,559,144,561,459,504,562,563,564,
565,281,567,568,570,571,572,574,576,577,143,205,350,579,580,
264,581,362,560,575,543,479,193,583,346,474,585,587,435,589,
154,550,212,591,592,593,594,596,597,598,600,160,601,161,602,
603,249,605,255,422,606,217,235,566,167,609,607,473,610,611,
486,520,556,612,613,288,538,614,615,535,617,174,619,291,620,
266,621,431,177,384,623,268,625,215,595,181,260,516,629,630,
631,185,632,200,634,635,616,420,229,395,637,425,590,315,547,
638,627,640,641,503,642,643,645,646,552,647,648,650,651,209,
518,652,653,654,470,656,445,573,658,660,661,662,663,434,664,
223,665,225,584,655,506,667,497,669,670,237,324,672,673,321,
608,510,675,657,676,246,677,308,678,274,599,319,679,680,682,
512,414,684,685,272,582,659,668,671,523,687,688,343,327,626,
588,628,691,692,526,365,694,604,477,332,298,695,618,339,683,
303,696,524,558,578,379,316,569,368,698,360,674,686,586,701,
491,697,702,700,528,649,412,639,437,371,681,557,690,449,622,
624,399,636,633,689,704,644,699,703,666,693,536]
/*order=88704000=2^10*3^2*5^3*7*11*/>
