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C₃₁×#2821 #16842754

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 59 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)(36,37,39,41)(38,40,42,43)(45,49)(50,52)(51,55)(58,59);(33,35)(38,42)(40,43)(44,45)(46,52)(47,55)(48,49)(50,54)(51,57)(53,58)(56,59);(32,33)(34,35)(36,37)(38,40)(39,41)(42,43)(44,46,48,54)(45,50,49,52)(47,56,57,53)(51,59,55,58);(36,38)(37,40)(39,42)(41,43)(44,47,48,57)(45,51,49,55)(46,53,54,56)(50,58,52,59)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1553);