PermutationGroup<378|
\[1,3,2,4,7,9,5,12,6,10,11,8,18,20,22,23,25,13,28,14,
31,15,16,35,17,38,40,19,43,30,21,46,48,50,24,53,55,26,58,
27,61,62,29,51,66,32,69,33,72,34,44,74,36,77,37,79,81,39,
84,86,41,42,90,92,94,45,82,87,47,93,71,49,100,52,103,105,
54,108,56,111,57,67,114,59,117,60,68,120,122,63,125,64,70,
65,121,130,132,134,135,73,138,139,75,142,76,145,107,78,149,
110,80,153,155,83,148,158,85,161,163,88,95,89,168,169,91,
172,174,176,178,96,180,97,170,98,99,156,164,101,102,188,190,
104,143,154,106,195,147,115,109,199,201,202,112,144,113,136,
206,116,207,160,118,211,119,137,214,216,167,123,124,133,221,
126,224,127,226,128,229,129,232,131,235,237,193,239,240,196,
200,140,244,141,191,192,183,250,146,186,241,252,150,187,151,
152,255,257,259,157,159,262,209,264,162,212,267,165,268,166,
251,270,242,227,171,274,275,173,277,175,220,280,177,283,231,
179,287,234,181,290,182,286,184,185,197,219,288,189,298,300,
302,303,249,194,217,198,308,254,203,311,204,258,205,315,292,
208,317,210,265,299,213,215,291,218,321,272,323,222,223,289,
225,327,318,228,296,331,230,284,285,238,233,243,276,236,269,
261,337,320,295,281,324,245,266,246,340,247,248,304,310,309,
341,253,306,305,256,312,313,349,260,316,263,279,353,294,271,
322,273,297,325,358,278,343,335,338,282,332,333,344,329,350,
293,330,352,301,307,363,328,334,359,346,367,368,314,336,351,
339,319,354,371,372,364,326,345,362,375,360,342,357,376,373,
347,348,369,370,355,356,366,374,361,365,377,378],
\[2,4,5,6,8,10,11,13,14,15,16,17,19,21,1,24,26,27,29,30,
32,33,34,36,37,39,41,42,3,44,45,47,49,51,52,54,56,57,59,
60,18,63,64,65,67,68,70,71,73,22,43,75,76,7,78,80,82,83,
85,87,88,89,91,93,95,96,97,98,55,9,92,99,101,102,104,106,
107,109,110,112,35,113,115,116,12,118,119,121,123,124,126,
127,23,128,129,131,133,46,136,137,50,140,141,143,144,146,147,
148,150,151,152,154,156,157,77,159,160,162,164,165,166,167,
161,170,171,173,175,177,20,179,181,182,183,184,62,185,186,
130,187,189,191,192,81,193,194,196,58,197,198,200,79,203,204,
25,94,205,103,53,208,209,210,212,153,213,215,217,218,219,220,
120,222,223,28,225,227,228,230,231,233,234,236,238,31,226,
241,100,242,243,245,246,247,248,249,251,180,158,239,253,188,
69,134,254,256,258,38,260,261,232,263,135,265,266,40,207,90,
269,270,122,271,272,273,142,199,276,278,279,48,281,282,284,
285,286,288,195,289,291,274,178,292,293,294,295,296,297,299,
301,114,125,304,305,306,307,283,309,310,312,313,314,174,316,
214,267,318,117,319,268,290,86,320,61,257,322,252,229,324,
325,326,315,328,329,330,332,333,155,132,84,334,335,300,311,
66,336,169,72,250,172,338,339,74,211,190,216,341,342,139,343,
344,327,340,345,346,347,348,350,351,352,237,264,235,354,355,
240,298,356,357,275,359,201,202,360,321,317,361,206,138,108,
308,244,323,280,362,105,364,365,255,366,111,168,176,163,259,
287,369,370,331,373,371,224,374,349,149,303,337,145,221,262,
377,378,368,302,358,375,277,363,376,372,353,367]>
