PermutationGroup<275|
\[191,182,3,81,55,60,7,66,272,177,192,163,13,242,133,107,
17,267,108,218,198,185,211,82,204,195,132,253,207,59,179,154,
264,152,92,189,217,197,85,156,41,184,102,50,216,99,181,48,
199,44,111,52,158,236,5,210,57,103,30,6,263,62,119,138,127,
8,105,137,69,125,144,219,261,74,175,76,269,237,268,80,4,24,
232,256,39,104,95,88,234,233,140,35,93,149,87,96,173,160,46,
112,123,43,58,86,67,221,16,19,131,176,51,100,262,257,201,
116,260,238,63,275,214,225,101,246,70,170,65,128,141,130,109,
27,15,196,167,136,68,64,139,91,129,235,224,71,205,249,147,
226,94,243,151,34,193,32,228,40,157,53,159,98,231,162,12,
215,180,166,135,222,270,126,241,259,97,212,75,110,10,188,31,
165,47,2,266,42,22,203,187,178,36,250,1,11,153,194,26,134,
38,21,49,200,115,247,186,25,145,206,29,255,251,56,23,174,
252,121,164,45,37,20,72,220,106,168,271,143,122,148,274,155,
229,240,161,83,90,89,142,54,78,118,254,230,171,14,150,244,
258,124,202,248,146,190,209,213,28,239,208,84,114,245,172,
117,73,113,61,33,273,183,18,79,77,169,223,9,265,227,120],
\[24,28,67,168,118,274,98,209,266,271,247,13,71,7,218,170,
100,26,223,128,264,116,179,204,40,198,64,272,56,132,255,148,
61,241,89,239,54,20,126,177,35,248,139,172,234,214,140,55,
134,213,22,107,101,99,113,135,221,57,252,84,163,47,94,162,
171,192,142,195,167,145,10,152,14,206,73,91,17,2,245,203,63,
205,38,188,191,215,115,52,82,227,180,155,169,173,181,265,250,
75,249,4,51,207,156,70,267,273,262,256,97,66,117,76,220,49,
158,53,105,19,44,144,269,127,141,185,119,189,102,159,58,50,
225,42,164,32,68,230,79,121,193,268,259,31,106,96,9,30,184,
114,143,103,150,197,125,186,1,160,147,178,83,151,120,21,90,
196,78,59,190,77,110,182,16,153,210,62,200,37,85,240,244,
238,34,65,36,108,18,219,251,208,136,46,25,93,8,236,29,15,
217,124,111,123,60,130,23,92,41,154,246,201,43,81,5,45,224,
69,231,166,254,133,74,235,261,232,211,202,86,88,33,237,228,
39,131,212,95,222,48,187,253,112,275,87,233,149,263,80,6,
122,138,146,176,243,258,260,270,72,3,157,183,194,175,216,129,
226,109,27,161,104,199,174,11,229,12,165,242,137,257]
/*order=898128000=2^7*3^6*5^3*7*11*/>
