PermutationGroup<240|
\[2,4,6,1,9,11,13,15,17,19,3,22,24,26,28,30,5,33,35,37,
39,41,43,7,45,47,49,8,52,54,56,58,60,62,10,64,66,67,68,
70,12,72,73,75,77,79,14,82,53,74,65,85,27,16,89,91,93,95,
96,18,99,100,102,90,105,20,108,21,111,113,110,78,23,101,119,
97,25,42,123,103,121,112,126,128,29,131,133,134,135,36,31,
137,139,141,32,143,145,147,116,34,50,151,153,155,51,140,132,
38,150,159,161,48,40,165,166,61,168,158,44,129,169,170,46,
171,173,136,154,176,177,146,162,179,180,182,55,83,152,184,57,
186,188,189,59,191,76,192,148,98,194,196,63,92,80,187,178,
115,201,183,71,202,69,86,195,205,206,156,122,207,81,167,209,
211,203,212,204,84,120,104,107,87,149,88,118,217,218,106,127,
94,214,164,221,130,224,181,225,109,227,228,198,229,231,210,
125,219,190,114,117,216,124,160,222,232,234,142,235,237,138,
230,175,215,144,172,236,226,163,193,233,199,238,185,157,174,
197,240,220,239,208,200,223,213],
\[3,5,7,8,10,12,14,16,18,20,21,23,25,27,29,31,32,34,36,
38,40,42,15,44,46,48,50,51,53,55,57,59,61,63,58,65,1,33,
69,71,56,67,74,76,78,80,81,83,11,37,84,86,87,88,90,92,94,
41,97,98,2,101,103,104,106,107,109,110,112,114,115,116,117,
118,120,121,89,122,124,125,93,52,127,129,130,132,6,17,19,
136,24,138,140,142,139,144,146,66,148,149,150,152,154,82,156,
157,62,64,158,160,162,163,164,135,141,167,133,39,159,72,153,
30,22,172,161,174,175,111,134,178,100,108,181,180,183,45,123,
147,185,187,49,4,190,186,189,54,35,193,195,60,143,182,197,
198,199,200,77,137,188,203,204,170,43,177,184,128,126,102,68,
208,210,131,165,75,171,205,213,214,215,207,216,194,209,179,
113,119,192,219,220,221,222,223,85,155,79,226,91,9,168,230,
201,212,191,13,70,73,28,229,176,26,228,233,95,99,236,218,
235,206,96,105,238,169,47,239,234,237,217,151,166,145,173,
232,240,224,225,231,202,211,227,196]
/*order=362880=2^7*3^4*5*7*/>
