PermutationGroup<351|
\[2,1,5,7,3,6,4,11,12,14,8,9,18,10,20,21,23,13,26,15,
16,30,17,32,33,19,36,37,39,22,42,24,25,46,47,27,28,51,29,
53,54,31,57,58,56,34,35,63,64,66,38,69,40,41,73,45,43,44,
77,78,79,81,48,49,84,50,67,85,52,88,89,91,55,94,76,75,59,
60,61,100,62,102,104,65,68,108,101,70,71,112,72,114,115,74,
118,119,120,122,124,80,87,82,103,83,130,131,133,86,136,137,
139,90,142,92,93,146,147,95,96,97,145,98,123,99,153,143,154,
155,157,105,106,161,107,163,164,109,110,167,111,169,141,113,
126,172,121,116,117,149,148,175,177,179,125,127,128,183,129,
185,186,188,132,191,134,135,195,196,138,199,140,202,173,144,
171,204,150,206,151,207,152,209,210,212,156,214,158,159,189,
160,187,218,162,221,216,223,165,166,211,227,168,230,224,170,
232,174,235,176,178,239,180,181,197,182,244,184,246,193,248,
190,243,250,192,253,194,201,255,257,198,260,261,200,264,203,
266,254,205,247,269,271,208,272,267,256,219,213,245,215,236,
217,280,220,251,282,222,234,225,242,226,281,287,228,229,290,
291,231,270,233,241,294,237,265,238,240,298,299,289,300,302,
303,284,249,258,252,306,279,308,310,259,313,275,262,263,317,
318,268,320,321,311,273,274,276,307,277,278,327,319,283,301,
285,330,286,297,324,288,331,326,323,292,293,305,295,296,322,
316,312,332,315,304,340,342,309,314,325,333,334,344,346,337,
338,347,328,350,329,343,335,349,336,339,348,345,341,351],
\[3,4,6,8,9,1,10,2,13,15,16,17,5,19,7,22,24,25,27,28,
29,11,31,12,34,35,14,38,40,41,43,44,45,18,48,49,50,20,52,
21,55,56,23,59,60,61,62,26,65,67,68,70,71,72,30,74,75,76,
32,33,80,66,82,83,36,47,37,86,87,39,90,92,93,42,95,96,97,
98,99,46,101,103,105,106,107,51,109,110,111,53,113,54,116,
117,57,58,121,123,125,126,127,128,63,129,64,132,134,135,69,
138,140,141,143,144,145,73,148,149,118,150,77,151,78,152,79,
136,81,156,158,159,160,84,162,85,165,100,166,88,168,89,170,
171,91,147,173,174,114,94,119,176,178,180,142,181,182,102,
184,104,187,189,190,192,193,194,108,197,198,200,201,112,153,
203,115,177,205,120,146,122,208,124,211,213,188,215,207,216,
130,217,131,219,220,133,222,224,225,226,137,228,229,139,231,
223,233,234,236,237,238,240,241,242,154,243,155,245,157,247,
183,249,161,251,252,163,254,164,256,258,259,167,262,263,169,
265,172,267,268,175,270,185,246,179,273,274,275,276,277,278,
186,279,266,281,191,283,284,202,285,195,286,196,264,288,289,
199,292,227,293,218,204,295,296,206,290,297,209,210,212,301,
214,239,302,282,304,305,221,307,309,311,312,300,314,315,316,
230,232,319,235,322,323,324,325,260,244,248,326,250,280,328,
253,329,255,298,257,313,287,261,271,332,321,333,334,335,336,
269,272,310,337,338,339,341,343,318,344,291,330,294,345,317,
299,303,348,349,306,340,308,347,320,351,331,327,342,346,350]
/*order=4245696=2^6*3^6*7*13*/>
