PermutationGroup<399 |  
\[1,2,4,3,7,6,5,8,50,11,10,19,22,30,15,25,17,47,12,54,
21,13,26,37,16,23,43,42,38,14,48,32,51,55,53,41,24,29,39,
44,36,28,27,40,52,49,18,31,46,9,33,45,35,20,34,57,56,61,
62,63,58,59,60,67,68,69,64,65,66,79,80,81,76,77,78,73,74,
75,70,71,72,97,98,99,94,95,96,91,92,93,88,89,90,85,86,87,
82,83,84,100,101,102,103,104,105,354,355,356,357,352,353,118,
119,120,121,122,123,112,113,114,115,116,117,168,169,170,171,
166,167,187,188,189,184,185,186,235,236,237,232,233,234,145,
146,147,142,143,144,207,202,203,204,205,206,157,158,159,154,
155,156,336,337,338,339,334,335,128,129,124,125,126,127,381,
376,377,378,379,380,181,182,183,178,179,180,133,134,135,130,
131,132,209,210,211,212,213,208,277,278,279,274,275,276,149,
150,151,152,153,148,195,190,191,192,193,194,311,312,313,314,
315,310,306,307,308,309,304,305,282,283,284,285,280,281,139,
140,141,136,137,138,341,342,343,344,345,340,247,248,249,244,
245,246,361,362,363,358,359,360,385,386,387,382,383,384,374,
375,370,371,372,373,303,298,299,300,301,302,199,200,201,196,
197,198,230,231,226,227,228,229,289,290,291,286,287,288,318,
319,320,321,316,317,269,270,271,272,273,268,224,225,220,221,
222,223,219,214,215,216,217,218,296,297,292,293,294,295,367,
368,369,364,365,366,349,350,351,346,347,348,164,165,160,161,
162,163,243,238,239,240,241,242,331,332,333,328,329,330,110,
111,106,107,108,109,253,254,255,250,251,252,325,326,327,322,
323,324,264,265,266,267,262,263,173,174,175,176,177,172,259,
260,261,256,257,258,398,399,394,395,396,397,390,391,392,393,
388,389],
\[32,41,3,48,37,44,50,57,45,31,15,34,29,10,54,7,52,17,1,
33,28,6,8,27,5,12,42,53,51,30,14,19,55,26,4,49,25,9,43,
2,40,24,46,22,38,39,47,35,56,16,13,18,21,11,20,36,23,245,
246,247,248,249,244,303,298,299,300,301,302,74,75,70,71,72,
73,344,345,340,341,342,343,275,276,277,278,279,274,321,316,
317,318,319,320,354,355,356,357,352,353,398,399,394,395,396,
397,325,326,327,322,323,324,240,241,242,243,238,239,146,147,
142,143,144,145,256,257,258,259,260,261,226,227,228,229,230,
231,113,114,115,116,117,112,376,377,378,379,380,381,98,99,94,
95,96,97,368,369,364,365,366,367,159,154,155,156,157,158,60,
61,62,63,58,59,255,250,251,252,253,254,222,223,224,225,220,
221,90,91,92,93,88,89,103,104,105,100,101,102,215,216,217,
218,219,214,83,84,85,86,87,82,128,129,124,125,126,127,305,
306,307,308,309,304,370,371,372,373,374,375,358,359,360,361,
362,363,234,235,236,237,232,233,139,140,141,136,137,138,169,
170,171,166,167,168,382,383,384,385,386,387,210,211,212,213,
208,209,77,78,79,80,81,76,349,350,351,346,347,348,206,207,
202,203,204,205,106,107,108,109,110,111,313,314,315,310,311,
312,65,66,67,68,69,64,292,293,294,295,296,297,200,201,196,
197,198,199,328,329,330,331,332,333,189,184,185,186,187,188,
283,284,285,280,281,282,289,290,291,286,287,288,334,335,336,
337,338,339,263,264,265,266,267,262,388,389,390,391,392,393,
148,149,150,151,152,153,130,131,132,133,134,135,163,164,165,
160,161,162,182,183,178,179,180,181,120,121,122,123,118,119,
173,174,175,176,177,172,271,272,273,268,269,270,195,190,191,
192,193,194]: Order:=5630688>
