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Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 80 points:
(1,2,3,4,5,6,7)(9,10,11,13)(12,15,16,22)(14,19,20,18)(17,24,25,35)(21,28,29,31)(23,32,33,27)(26,37,38,52)(30,41,42,48)(34,45,46,44)(36,49,50,40)(39,54,55,67)(43,58,59,68)(47,56,62,64)(51,65,66,61)(53,69,70,57)(60,71,72,76)(63,73,74,77)(75,78,79,80);(8,9,12,17,26,39,56,41,24,36,51,67,76,80,79,74,62,46,33,22,31,44,61,69,49,32,19,10,14,21,30,43,60,73,58,37,53,70,52,68,77,72,59,42,29,20,13,18,27,40,57,65,45,28,15,23,34,47,63,75,78,71,54,66,50,35,48,64,55,38,25,16,11)
Conjugacy classes & character table
154 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2044, 6);
Finite Group Databasebeta