PermutationGroup<336|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,39,40,42,36,37,46,47,11,12,51,52,54,48,
49,56,50,59,60,62,53,17,66,67,69,20,21,73,65,75,68,77,79,
70,71,83,72,85,86,88,27,28,90,29,93,94,96,32,99,89,102,91,
104,92,106,107,109,95,112,97,98,116,38,103,41,119,121,43,44,
125,45,127,128,117,131,132,118,55,120,136,122,123,138,124,
141,142,126,145,146,148,129,151,153,57,154,58,140,156,158,61,
161,63,64,144,165,152,134,169,171,172,155,175,157,176,80,159,
160,111,87,162,163,150,164,181,182,74,184,76,78,187,81,178,
82,170,143,84,190,191,192,183,195,196,197,185,110,101,186,
202,167,188,189,205,108,147,206,193,179,209,100,212,213,105,
215,216,113,114,115,219,220,210,211,200,168,223,198,225,214,
228,230,217,218,234,235,130,238,174,133,135,241,137,139,244,
245,149,237,249,248,239,251,240,253,194,242,256,243,258,259,
229,246,247,262,227,166,265,267,173,269,261,177,180,273,274,
264,263,277,266,280,268,222,282,270,285,271,272,287,204,275,
290,254,199,292,201,294,203,233,283,296,207,208,297,298,291,
301,252,293,304,295,231,306,288,300,284,309,310,221,313,224,
279,226,316,232,236,312,289,317,314,308,322,315,323,260,325,
303,257,318,327,321,250,329,320,255,328,299,307,281,276,302,
330,305,326,319,331,286,278,324,333,334,311,336,332,335],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,38,10,41,43,44,45,13,48,49,50,15,53,55,56,
57,18,58,19,61,63,64,65,22,68,70,71,72,25,74,26,76,78,80,
81,82,30,84,31,87,89,90,91,34,92,35,95,97,98,100,101,39,
103,40,105,42,108,110,111,113,114,115,46,117,47,118,120,122,
123,124,51,126,52,129,130,54,119,133,134,135,137,138,139,59,
140,60,143,144,62,147,149,150,152,66,75,67,155,69,157,159,
160,162,163,164,73,166,167,168,170,77,173,174,79,158,177,178,
153,125,83,179,136,131,85,180,86,161,183,88,185,186,188,189,
93,106,94,142,116,96,182,193,194,99,146,198,199,102,200,201,
104,145,203,204,107,109,112,207,208,127,210,211,141,214,196,
121,217,187,184,218,128,221,222,190,171,132,224,197,226,227,
229,231,232,233,148,236,237,151,191,239,240,154,242,243,156,
246,247,248,165,235,250,169,252,172,254,255,175,257,176,253,
260,261,195,181,263,264,266,268,220,270,271,272,256,192,275,
241,276,278,279,281,205,202,283,284,273,269,286,206,288,289,
209,274,291,212,293,213,295,215,216,294,230,238,219,299,300,
223,302,303,225,305,228,245,307,308,309,234,311,312,314,280,
315,244,258,317,318,319,249,320,321,251,292,313,324,285,306,
259,326,290,262,310,328,265,267,330,322,331,329,277,325,296,
316,282,301,287,332,304,298,323,297,335,336,333,327,334]
/*order=68880=2^4*3*5*7*41*/>
