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Aliases
Splittings
Subgroups
8 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 159 points:
(1,2)(4,5,7)(6,9,14)(8,12,11)(10,16,24)(13,19,21)(15,22,18)(17,26,37)(20,29,34)(23,32,31)(25,35,28)(27,39,53)(30,42,50)(33,45,47)(36,48,44)(38,51,41)(40,55,72)(43,58,69)(46,61,66)(49,64,63)(52,67,60)(54,70,57)(56,74,94)(59,77,91)(62,80,88)(65,83,85)(68,86,82)(71,89,79)(73,92,76)(75,96,108)(78,98,115)(81,101,112)(84,104,109)(87,107,106)(90,110,103)(93,113,100)(95,116,97)(99,120,128)(102,122,134)(105,125,131)(111,129,127)(114,132,124)(117,135,121)(118,130,119)(123,139,144)(126,141,147)(133,145,143)(136,148,140)(137,146,138)(142,152,154)(149,155,153)(150,156,151)(157,159,158);(3,4,6,10,17,27,40,56,75,83,45,19,5,8,13,20,30,43,59,78,99,104,61,29,9,15,23,33,46,62,81,102,123,125,80,42,16,25,36,49,65,84,105,126,142,141,101,58,26,38,52,68,87,108,128,144,154,152,122,77,39,54,71,90,111,130,94,115,134,147,139,98,55,73,93,114,133,146,116,72,91,112,131,120,74,95,117,136,149,156,135,92,53,69,88,109,96,118,137,150,157,159,148,113,70,37,50,66,85,106,127,143,153,158,155,132,89,51,24,34,47,63,82,103,124,140,151,145,110,67,35,14,21,31,44,60,79,100,121,138,129,86,48,22,7,11,18,28,41,57,76,97,119,107,64,32,12)
Conjugacy classes & character table
110 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(942, 2);
Finite Group Databasebeta