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