PermutationGroup<378|
\[2,1,3,6,8,4,11,5,9,15,7,18,20,22,10,25,17,12,29,13,
32,14,23,35,16,38,40,42,19,30,45,21,48,50,24,36,54,26,57,
27,60,28,63,44,31,65,47,33,69,34,72,52,74,37,55,78,39,81,
82,41,85,87,43,90,46,93,83,95,49,70,98,51,101,53,103,105,
77,56,108,110,58,59,67,115,61,117,62,119,89,64,122,124,66,
127,68,130,97,71,132,100,73,135,75,137,76,120,140,79,143,80,
145,112,147,149,84,152,86,155,88,106,159,91,161,92,125,164,
94,167,168,96,171,99,174,150,102,166,104,179,181,107,183,185,
109,188,111,191,113,192,114,134,151,116,198,200,118,203,205,
206,121,209,123,212,163,126,215,136,128,129,220,170,131,223,
225,133,201,228,186,231,138,233,139,235,141,238,142,177,241,
144,216,245,146,148,248,250,252,253,254,153,257,154,175,259,
156,260,157,158,246,263,160,262,266,162,221,270,165,189,271,
218,255,169,213,236,172,267,173,226,276,176,277,279,178,281,
180,283,182,222,287,184,289,290,187,293,294,296,190,207,300,
193,285,194,282,195,196,197,219,272,199,305,202,204,308,210,
208,299,312,211,224,313,314,214,217,256,318,320,275,227,229,
278,230,323,232,251,234,325,249,327,237,329,239,240,291,332,
242,243,295,244,333,337,264,247,340,341,342,343,258,346,348,
261,351,353,311,265,268,269,356,357,359,273,358,274,321,322,
280,361,284,334,286,363,288,347,331,292,297,326,335,365,298,
355,339,301,302,303,304,369,370,306,330,307,368,372,309,374,
310,354,338,315,316,319,317,376,324,362,328,364,336,366,367,
349,344,345,371,350,373,352,375,360,377,378],
\[3,4,5,7,9,10,12,13,14,16,17,19,21,23,24,26,27,28,30,
31,33,34,1,36,37,39,41,43,44,2,46,47,49,51,52,53,55,56,
58,59,61,62,18,64,29,66,67,68,70,71,73,22,75,76,77,79,80,
6,83,84,86,88,89,91,92,94,42,96,97,8,99,100,35,102,104,38,
106,107,109,111,112,113,114,101,116,11,118,32,120,121,123,
125,126,128,129,48,131,69,133,134,60,85,136,15,138,139,141,
142,54,144,146,147,148,150,151,153,154,156,157,158,87,160,45,
162,163,165,166,20,169,170,172,173,175,95,176,177,178,180,25,
182,184,186,187,189,190,119,81,193,194,195,196,197,199,201,
202,204,57,207,208,210,211,93,213,214,216,217,218,219,72,221,
222,224,226,183,227,229,230,161,232,234,82,236,237,164,239,
240,242,243,244,246,155,247,249,251,40,185,255,256,74,258,
209,152,198,90,261,262,263,264,265,143,267,268,269,78,206,
124,254,250,272,233,273,168,110,98,274,275,50,115,278,248,
280,282,127,284,285,286,279,288,228,291,292,122,295,297,298,
299,266,301,181,167,241,302,303,220,191,203,304,306,117,307,
309,310,63,311,259,192,281,200,65,315,316,317,319,174,253,
321,322,270,225,313,137,179,324,326,294,328,318,159,277,330,
331,314,333,334,335,336,223,338,339,205,103,323,132,344,345,
347,349,350,352,354,238,355,231,149,135,358,171,188,327,300,
341,360,296,305,362,105,130,364,365,366,108,290,340,367,287,
342,359,368,343,293,276,252,145,257,308,371,212,271,260,283,
373,320,374,375,289,332,369,363,376,312,235,351,377,140,353,
370,361,357,245,356,325,329,346,378,215,337,348,372]
/*order=9797760=2^7*3^7*5*7*/>
