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Aliases
Subgroups
36 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 165 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37)(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)(102,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103);(38,102,70,134)(39,103,71,135)(40,104,72,136)(41,105,73,137)(42,106,74,138)(43,107,75,139)(44,108,76,140)(45,109,77,141)(46,110,78,142)(47,111,79,143)(48,112,80,144)(49,113,81,145)(50,114,82,146)(51,115,83,147)(52,116,84,148)(53,117,85,149)(54,118,86,150)(55,119,87,151)(56,120,88,152)(57,121,89,153)(58,122,90,154)(59,123,91,155)(60,124,92,156)(61,125,93,157)(62,126,94,158)(63,127,95,159)(64,128,96,160)(65,129,97,161)(66,130,98,162)(67,131,99,163)(68,132,100,164)(69,133,101,165)
Conjugacy classes & character table
1295 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 163);
Finite Group Databasebeta