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C₃₁×#3212 #16843145

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

400 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1944);