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