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Aliases
Splittings
Subgroups
8 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 153 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)(56,74,93)(59,75,90)(62,79,87)(65,82,84)(68,85,81)(71,88,78)(73,91,76)(77,96,111)(80,98,108)(83,100,105)(86,103,102)(89,106,99)(92,109,97)(94,112,95)(101,116,123)(104,118,120)(107,121,117)(110,124,115)(113,126,114)(119,130,134)(122,132,131)(125,135,129)(127,137,128)(133,141,142)(136,143,140)(138,145,139)(144,149,148)(146,150,147)(151,153,152);(3,4,6,10,17,27,40,56,75,39,54,71,89,107,122,133,137,109,70,37,50,66,84,102,117,129,139,141,118,82,45,19,5,8,13,20,30,43,59,77,96,55,73,92,110,125,136,144,145,124,88,51,24,34,47,63,81,99,115,128,130,100,61,29,9,15,23,33,46,62,80,93,111,74,94,113,127,138,146,151,150,135,106,67,35,14,21,31,44,60,78,97,114,116,79,42,16,25,36,49,65,83,101,112,72,90,108,123,134,142,148,152,153,143,121,85,48,22,7,11,18,28,41,57,76,95,98,58,26,38,52,68,86,104,119,126,91,53,69,87,105,120,131,140,147,149,132,103,64,32,12)
Conjugacy classes & character table
106 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(906, 2);
Finite Group Databasebeta