PermutationGroup<756|
\[2,1,5,7,3,10,4,13,9,6,17,19,8,22,21,16,11,26,12,29,
15,14,33,24,36,18,39,40,20,43,45,47,23,50,49,25,53,55,27,
28,59,61,30,64,31,67,32,70,35,34,51,73,37,76,38,79,81,83,
41,86,42,89,63,44,65,66,46,94,96,48,99,100,52,103,105,54,
108,110,56,113,57,116,58,119,121,60,124,126,62,129,131,133,
135,68,138,69,140,142,71,72,146,148,74,151,75,136,154,77,
157,78,137,160,80,162,164,82,167,169,84,172,85,122,123,87,
178,88,180,182,90,184,91,187,92,190,93,106,111,95,194,97,
197,98,183,144,202,101,205,102,207,150,104,211,213,107,216,
218,109,221,223,112,226,114,229,115,231,233,117,236,118,237,
208,120,241,243,245,247,249,125,189,127,181,128,143,130,256,
257,132,260,179,134,263,264,266,139,239,270,141,273,212,275,
277,145,280,282,147,285,149,171,289,291,152,199,153,261,294,
155,296,156,298,220,158,302,159,262,306,161,309,311,163,230,
165,316,166,267,317,168,170,238,195,322,173,325,174,327,175,
258,176,331,177,334,336,252,339,341,343,185,186,246,295,188,
214,224,191,192,352,193,234,288,323,196,271,272,198,362,200,
350,201,364,366,203,369,204,342,284,206,346,374,268,209,377,
210,380,382,215,259,217,297,219,388,300,391,222,303,395,397,
225,398,399,227,402,228,344,405,407,409,232,235,413,358,415,
417,240,269,420,242,422,244,424,375,412,248,427,429,250,432,
251,434,435,253,437,254,283,255,312,387,286,445,447,449,276,
389,265,454,456,458,459,425,319,463,464,430,274,363,278,470,
279,418,436,281,474,475,476,477,287,329,442,290,378,379,292,
485,293,383,489,481,403,345,299,351,494,301,496,393,461,304,
499,305,307,308,503,505,310,386,508,313,511,314,502,315,515,
516,330,318,518,320,521,321,367,523,324,525,326,423,328,357,
531,332,533,333,361,535,335,450,337,338,368,340,540,484,483,
543,376,545,546,347,536,348,550,349,433,551,553,453,353,556,
354,557,355,356,460,394,562,359,360,504,566,568,468,570,365,
522,472,473,370,371,372,373,574,564,577,385,579,440,439,381,
486,487,584,384,490,587,492,590,390,592,392,594,596,396,500,
599,408,400,465,401,544,507,404,552,605,406,608,513,514,410,
411,517,414,519,613,416,471,419,598,421,618,527,620,529,586,
426,624,428,627,431,446,630,560,631,438,555,634,441,506,443,
444,638,548,549,448,451,509,452,643,541,455,457,607,559,538,
614,462,648,479,617,466,652,467,654,469,656,619,628,478,591,
642,480,578,482,661,581,664,665,488,588,530,491,585,602,493,
575,495,670,497,672,498,597,524,501,675,676,589,636,679,510,
681,558,512,684,610,686,616,520,561,687,612,565,526,572,528,
693,689,695,532,640,653,534,573,697,537,539,701,633,542,703,
603,637,547,639,625,707,576,554,708,649,646,647,563,645,668,
711,567,626,569,713,571,657,716,718,691,580,720,690,582,583,
719,699,650,725,593,671,595,726,683,600,601,706,678,604,714,
606,704,674,609,731,611,615,733,622,663,660,692,621,737,623,
712,629,698,667,740,632,741,635,682,705,677,641,644,709,710,
651,696,655,680,730,658,735,659,666,662,748,722,723,749,669,
673,751,745,729,715,685,732,688,754,717,747,694,742,755,700,
702,738,756,746,728,744,736,721,724,750,727,752,753,734,739,
743],
\[3,4,6,8,9,11,12,14,15,16,18,20,21,23,24,22,25,27,28,
30,31,32,34,35,37,38,1,41,42,44,46,48,49,2,51,52,54,56,
57,58,60,62,63,65,66,68,69,71,64,72,5,74,75,77,78,80,82,
84,85,87,88,90,91,92,7,50,93,95,97,98,10,101,102,104,106,
107,109,111,112,114,115,117,118,120,122,123,125,127,128,130,
132,134,136,137,13,139,141,143,144,145,147,149,150,152,47,
153,155,156,17,158,159,146,161,163,165,166,168,170,171,173,
174,175,176,177,19,179,181,183,103,185,186,188,189,191,192,
193,184,73,195,196,198,199,200,201,203,204,45,206,208,209,
210,212,214,215,217,219,220,222,224,225,227,228,26,230,232,
234,235,169,39,238,239,240,242,244,246,248,250,53,81,251,252,
253,254,255,29,258,259,233,261,262,33,265,267,268,269,271,
272,105,274,276,278,279,281,283,284,286,287,288,290,292,293,
36,100,178,140,295,297,70,299,300,301,303,304,305,307,308,
310,312,313,314,315,126,43,160,318,119,319,320,321,323,324,
40,326,328,142,329,330,332,333,335,337,338,340,342,344,345,
346,347,348,349,257,350,264,351,353,354,355,356,357,358,359,
360,361,363,352,218,76,365,367,368,370,371,372,373,99,256,
375,138,376,378,379,381,383,384,385,386,277,387,389,390,392,
393,394,396,55,298,116,400,401,403,316,404,406,408,410,411,
412,414,302,416,418,419,172,421,388,423,194,380,59,425,426,
428,430,431,433,113,429,61,436,438,439,440,441,442,443,444,
446,448,450,451,452,453,455,457,67,460,461,462,154,465,466,
467,468,469,285,471,322,472,473,213,447,79,478,479,480,481,
482,129,483,484,486,487,488,490,491,492,306,397,493,495,157,
399,497,398,498,500,501,110,502,504,506,507,336,509,510,512,
229,513,514,382,517,374,280,519,520,83,522,236,524,207,526,
527,528,529,530,532,525,86,364,534,536,437,489,537,456,538,
539,541,542,89,544,94,148,133,547,548,549,496,369,424,552,
417,554,555,475,413,558,559,560,561,96,563,282,564,565,567,
569,245,180,533,571,435,572,573,135,164,266,575,576,578,535,
395,580,121,581,582,583,585,124,586,588,589,108,591,391,593,
595,434,597,598,422,600,445,601,334,602,603,211,604,606,607,
609,476,341,339,610,611,273,612,614,615,263,616,202,617,619,
325,579,621,622,623,625,626,628,592,629,377,521,632,226,633,
635,630,636,223,637,405,131,639,551,640,641,642,644,645,485,
570,646,647,499,327,366,649,523,650,651,653,343,627,655,657,
658,659,638,590,660,474,420,656,662,663,151,231,666,508,553,
605,667,566,205,668,669,187,671,237,458,673,545,674,221,540,
677,678,162,680,503,682,683,407,685,681,167,643,684,515,688,
689,690,691,692,260,694,676,291,696,648,574,670,698,699,700,
618,182,702,409,704,705,362,463,706,190,294,707,709,516,477,
693,710,661,197,296,634,518,712,714,243,715,717,719,317,270,
624,721,722,723,720,216,724,289,249,726,599,675,654,459,631,
727,728,556,587,311,729,546,730,454,652,732,734,735,432,241,
594,736,247,738,739,550,505,716,741,742,743,543,568,744,745,
713,672,275,746,747,708,711,748,562,740,449,511,749,695,679,
731,664,687,415,750,309,752,751,725,753,494,427,464,733,596,
686,754,331,703,531,756,737,608,697,470,613,755,577,620,718,
402,665,584,557,701]
/*order=19595520=2^8*3^7*5*7*/>
