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