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Aliases
Subgroups
38 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 165 points:
(1,2,3,9,4,10,13,27,5,11,14,28,17,30,33,49,6,12,15,29,18,31,34,50,20,32,36,51,39,52,53,62,7,8,16,23,19,24,35,43,21,25,37,44,40,46,54,58,22,26,38,45,41,47,55,59,42,48,56,60,57,61,63,64)(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);(2,8)(9,23)(10,24)(11,25)(12,26)(27,43)(28,44)(29,45)(30,46)(31,47)(32,48)(49,58)(50,59)(51,60)(52,61)(62,64)
Conjugacy classes & character table
8080 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 160);
Finite Group Databasebeta