PermutationGroup<378|
\[2,4,6,1,9,11,13,15,17,19,3,22,24,26,28,30,5,33,35,37,
39,41,43,7,46,48,50,8,52,54,56,58,49,61,10,63,65,67,68,
70,12,73,74,76,78,80,81,14,18,85,87,89,91,16,88,95,97,98,
100,102,104,106,107,108,20,109,111,21,114,93,117,118,86,23,
122,124,99,126,128,25,130,129,131,133,27,42,135,137,29,140,
142,144,40,146,31,149,151,32,154,156,158,160,134,34,163,165,
36,127,125,168,38,170,171,173,75,175,176,177,178,180,182,115,
185,44,66,45,64,187,189,47,191,193,195,197,51,199,55,201,
202,204,206,53,208,209,132,212,214,123,215,218,57,221,222,77,
224,59,227,228,194,60,229,232,234,233,62,236,237,190,238,239,
241,242,69,244,245,71,72,248,249,250,174,252,253,255,148,172,
79,259,82,110,83,263,145,265,84,267,103,270,254,271,272,269,
274,90,277,279,281,283,92,167,198,94,284,287,96,288,290,292,
294,225,295,297,266,299,258,205,289,101,302,303,200,305,306,
105,308,309,210,311,112,313,113,186,273,181,116,318,268,119,
320,120,321,121,323,136,304,282,326,220,276,328,314,296,330,
291,159,332,325,317,139,211,231,138,336,333,213,188,226,339,
141,285,340,342,143,275,316,345,147,347,157,327,348,150,350,
351,152,353,153,355,155,356,354,161,334,184,162,164,359,360,
166,240,169,307,310,346,335,280,247,361,341,179,363,301,183,
319,196,352,217,366,365,192,338,223,203,230,349,243,329,344,
364,207,324,256,362,331,369,261,216,264,315,370,219,257,262,
322,371,373,368,367,312,235,246,372,251,278,337,260,374,378,
286,293,298,343,300,358,376,377,375,357],
\[3,5,7,8,10,12,14,16,18,20,21,23,25,27,29,31,32,34,36,
38,40,42,44,45,47,49,1,51,53,55,57,59,60,22,62,64,66,2,
69,71,72,9,75,77,79,46,82,83,84,86,88,90,92,93,94,96,4,
99,101,103,105,19,102,35,28,110,112,113,115,116,118,119,120,
121,123,125,6,127,129,104,24,126,132,67,134,111,136,138,139,
141,143,142,145,147,148,150,152,153,155,157,159,43,161,162,
164,166,41,167,78,114,169,26,172,174,154,173,146,11,179,181,
183,184,63,151,87,13,186,188,81,190,192,194,196,198,182,180,
200,65,203,205,207,15,175,210,211,213,215,216,217,219,220,
176,131,223,225,226,124,229,17,230,231,233,80,235,191,232,
133,212,171,240,50,241,243,37,246,247,208,201,107,76,251,85,
254,256,257,258,187,260,54,261,262,264,91,266,97,268,269,135,
106,242,250,273,275,276,278,280,282,284,58,130,189,285,286,
267,30,289,291,293,255,100,296,298,39,300,209,238,199,301,
249,304,33,227,163,307,305,310,292,221,312,178,309,314,315,
316,317,193,195,319,321,170,277,322,324,325,56,206,320,109,
327,329,144,281,331,98,214,48,333,108,334,279,335,287,237,
332,337,338,73,323,245,122,341,52,343,344,274,346,330,234,
311,128,349,336,272,352,283,156,354,185,239,197,313,294,357,
358,61,158,253,308,68,299,95,236,326,340,70,318,348,362,263,
222,306,345,364,288,74,342,365,259,290,218,367,168,368,224,
252,202,89,303,302,137,165,228,369,350,271,117,160,270,361,
177,297,370,363,366,372,374,204,347,371,328,149,375,376,140,
360,377,248,265,373,339,378,359,295,353,244,356,351,355]
/*order=378000=2^4*3^3*5^3*7*/>
