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Aliases
Splittings
Subgroups
60 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 72 points:
(1,2,3,4,5)(6,7,8)(9,11,15,25)(10,16,20,41)(12,27,31,61)(13,33,35,67)(14,37,34,24)(17,43,45,70)(18,47,48,72)(19,49,36,40)(21,50,52,26)(22,42,38,29)(23,46,55,28)(30,65,63,60)(32,39,66,68)(44,71,57,54)(51,58,56,64)(53,62,59,69);(7,8)(9,10,15,20)(11,21,25,52)(12,26,31,50)(13,32,35,66)(14,36,34,19)(16,38,41,22)(17,42,45,29)(18,46,48,28)(23,54,55,71)(24,56,37,51)(27,47,61,72)(30,64,63,58)(33,43,67,70)(39,65,68,60)(40,53,49,59)(44,62,57,69)
Conjugacy classes & character table
150 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 416);
Finite Group Databasebeta