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Aliases
Subgroups
456 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 65 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)(30,31,33,32)(34,35)(36,44)(37,41)(38,50)(39,42)(40,46)(43,52)(45,58)(47,57)(48,56)(49,62)(51,54)(53,60)(55,61)(59,65)(63,64);(34,36,39,47)(35,40,42,54)(37,45,48,59)(38,51,52,46)(41,53,56,64)(43,57,50,44)(49,63,61,60)(55,65,62,58);(30,32,33,31)(34,37,39,48)(35,41,42,56)(36,45,47,59)(38,49,52,61)(40,53,54,64)(43,55,50,62)(44,58,57,65)(46,60,51,63);(35,42)(37,48)(40,54)(43,50)(44,57)(45,59)(49,61)(60,63)
Conjugacy classes & character table
1276 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 1682);
Finite Group Databasebeta