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Aliases
Subgroups
196 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 181 points:
(1,2,5,19,6,10,21,9)(3,11,13,7,14,27,31,23)(4,15,17,24,18,8,20,25)(12,28,29,22,16,26,30,32)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181);(1,3,5,13,6,14,21,31)(2,7,9,11,10,23,19,27)(4,16,17,30,18,12,20,29)(8,22,24,28,15,32,25,26);(1,4,6,18)(2,8,10,15)(3,12,14,16)(5,20,21,17)(7,22,23,32)(9,25,19,24)(11,26,27,28)(13,30,31,29)
Conjugacy classes & character table
3427 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 802);
Finite Group Databasebeta