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Aliases
Subgroups
148 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 181 points:
(1,2,5,10,6,11,7,22)(3,12,14,24,16,27,15,8)(4,17,19,31,20,9,21,26)(13,25,28,32,29,30,18,23)(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);(1,3,7,14,6,16,5,15)(2,8,22,12,11,24,10,27)(4,18,21,13,20,28,19,29)(9,25,31,32,17,30,26,23);(1,4,5,19,6,20,7,21)(2,9,10,26,11,17,22,31)(3,13,14,28,16,29,15,18)(8,23,12,25,24,32,27,30)
Conjugacy classes & character table
3874 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 835);
Finite Group Databasebeta