PermutationGroup<730|
\[654,95,560,333,446,570,432,492,94,557,147,168,606,276,85,
349,545,173,34,691,115,460,463,98,635,580,137,29,28,470,106,
465,671,19,316,511,295,457,650,367,710,658,194,625,692,60,
488,647,642,104,677,167,644,213,656,304,443,389,225,46,594,
490,425,472,392,629,657,569,599,371,358,706,342,319,505,444,
521,388,507,617,226,339,252,423,15,231,402,640,682,354,91,
550,277,9,2,176,415,24,327,701,186,546,497,50,138,31,725,
240,391,690,510,233,575,551,21,227,162,317,622,501,626,668,
662,340,655,487,631,661,177,567,131,270,688,416,552,595,27,
105,265,217,294,538,709,144,577,237,11,672,609,163,572,261,
241,619,699,185,685,274,409,404,207,117,150,461,427,495,52,
12,562,568,466,684,18,717,189,96,129,351,191,330,589,525,445,
702,156,101,390,473,175,509,179,315,621,43,307,263,380,205,
435,534,201,512,683,345,198,248,161,366,305,670,648,643,54,
730,704,536,140,532,406,370,486,586,431,437,59,81,116,282,
412,645,86,314,112,275,641,573,146,663,526,108,153,530,405,
513,306,418,628,206,611,352,393,83,363,343,496,364,318,422,
279,601,152,680,196,302,139,428,482,372,639,132,676,407,535,
158,234,14,93,666,259,518,378,228,584,377,298,728,411,395,
608,686,426,506,436,141,37,528,652,285,502,515,324,264,563,
56,209,245,195,591,687,630,420,582,383,232,192,35,118,257,74,
727,394,456,588,301,616,596,99,464,605,180,469,475,4,441,694,
711,385,590,82,124,571,73,254,561,204,574,508,373,16,401,178,
250,458,90,439,429,369,71,708,620,494,673,253,256,548,208,40,
481,357,220,70,268,348,398,649,543,284,281,382,197,400,379,
313,489,337,646,665,78,58,187,109,65,251,321,288,581,638,374,
721,381,350,87,447,160,243,219,272,424,159,579,287,229,651,
480,97,134,504,246,566,311,695,258,84,408,63,291,165,266,356,
660,223,7,607,722,199,293,224,612,355,633,334,516,57,76,183,
5,403,527,500,549,529,459,479,729,547,322,38,353,452,22,164,
553,23,328,32,171,519,471,331,30,468,64,188,587,332,712,593,
667,453,414,368,267,689,659,705,221,126,47,384,62,565,8,539,
361,166,255,103,715,514,449,120,299,696,417,75,292,79,347,
190,111,36,202,244,499,300,442,602,280,467,520,77,544,679,
678,182,239,448,296,451,242,632,218,697,200,273,216,664,142,
493,585,636,693,376,522,17,102,455,365,450,92,114,135,462,
600,598,714,10,681,559,3,344,169,303,576,491,419,130,170,68,
6,341,151,236,346,113,564,145,623,410,26,396,312,610,283,540,
222,474,323,181,338,308,637,477,61,136,326,597,555,69,554,
260,517,613,618,329,13,433,289,149,583,249,438,603,669,624,
325,80,604,154,360,193,119,578,615,44,121,719,247,66,310,127,
531,440,713,25,541,592,397,269,88,235,49,212,53,230,386,48,
211,375,39,413,297,653,1,125,55,67,42,484,430,128,123,238,
537,387,278,478,122,614,210,33,148,362,724,698,271,51,524,
523,262,558,89,203,172,157,290,309,133,483,110,20,45,542,335,
421,503,533,675,155,700,100,184,703,215,485,72,723,359,143,
41,336,476,634,556,498,718,174,716,627,726,399,434,707,674,
107,720,320,286,454,214],
\[509,609,690,671,30,588,412,678,101,188,191,374,627,48,49,
431,585,257,482,322,670,414,577,315,85,596,635,260,189,13,
702,597,581,679,123,656,170,119,462,691,274,654,124,722,127,
252,42,396,157,628,104,486,525,327,210,289,195,263,454,516,
150,50,354,231,254,410,674,383,130,79,310,719,247,681,465,
339,168,389,214,293,206,19,273,29,669,117,643,236,452,543,
175,88,459,298,489,99,329,514,77,436,240,23,368,98,700,166,
312,346,420,212,422,121,583,171,380,216,41,309,375,213,406,
492,680,87,246,120,423,544,701,90,44,433,28,432,456,697,559,
25,227,449,730,490,287,83,651,362,398,604,118,571,447,550,69,
333,200,626,729,76,295,638,475,31,570,542,5,56,270,290,455,
112,359,720,173,507,282,224,338,143,476,381,285,114,721,664,
33,276,160,564,710,111,387,67,477,524,728,321,391,694,705,
453,349,450,86,74,393,563,261,223,180,416,186,440,437,541,91,
262,519,403,238,682,631,154,53,228,78,245,438,68,399,561,357,
105,46,58,613,602,271,688,592,434,165,17,598,518,341,605,122,
363,97,711,296,325,388,316,704,234,335,12,662,505,235,634,
319,520,313,714,156,535,686,249,727,169,590,624,429,593,8,
199,251,320,107,485,323,9,460,229,14,413,400,499,545,615,378,
426,724,448,70,512,152,185,444,314,555,134,504,417,149,419,
546,59,94,242,611,337,579,125,54,655,707,211,286,265,653,283,
22,172,110,102,531,665,230,269,451,567,63,470,181,384,445,
687,529,685,10,190,488,24,198,580,4,632,139,15,706,648,591,
146,689,20,308,142,562,340,667,644,352,279,138,573,568,608,
566,239,176,376,606,539,255,718,243,218,147,371,373,250,660,
587,369,187,259,508,551,253,45,266,493,178,2,547,619,537,515,
394,480,344,501,495,578,443,113,576,148,324,278,233,695,491,
183,415,182,513,35,523,641,201,52,636,446,663,649,1,533,304,
21,594,197,652,268,617,612,317,221,506,467,622,345,328,379,
595,360,300,164,161,267,661,81,159,657,89,478,302,458,625,
401,347,133,629,408,193,558,708,137,709,367,457,461,421,204,
237,484,616,303,586,725,275,716,34,62,158,336,672,330,673,92,
3,37,174,642,556,96,84,471,620,356,355,75,364,397,464,645,
640,424,536,301,639,411,703,418,474,162,442,659,540,404,618,
521,11,217,637,26,517,167,334,131,646,126,560,106,407,600,
502,630,222,599,38,430,614,209,472,95,538,145,100,135,220,
194,80,500,402,601,311,692,277,272,510,6,382,248,526,326,305,
60,192,675,151,136,723,427,299,677,534,202,353,528,684,281,
466,589,232,318,428,163,715,280,284,366,226,552,574,153,258,
405,395,177,463,65,128,351,522,496,361,358,331,342,307,717,
115,607,481,196,370,288,109,225,203,582,155,241,40,82,297,
332,306,244,668,64,385,683,392,713,343,205,572,483,264,291,
129,386,18,726,666,435,32,7,494,647,569,633,530,208,693,712,
623,144,372,55,103,532,699,473,72,511,140,676,497,650,73,108,
610,696,179,468,219,409,66,207,441,503,554,27,47,487,439,294,
390,658,425,57,548,116,565,348,527,61,292,621,39,256,549,141,
557,603,71,51,469,184,215,377,498,132,36,350,16,584,553,43,
479,93,575,365,698]
/*order=42573600=2^5*3^6*5^2*73*/>
