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C₃₁×#3098 #16843031

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(34,37)(35,36)(38,39)(40,41)(42,46)(43,48)(44,53)(45,49)(47,50)(51,55)(52,54);(33,36)(37,39)(40,42)(41,46)(43,52)(44,50)(45,51)(47,53)(48,54)(49,55);(32,34,35,38)(33,37,36,39)(40,42)(41,47)(43,50)(44,52)(45,51)(46,53)(48,55)(49,54);(40,43,45,44)(41,48,49,53)(42,50,51,52)(46,47,55,54)

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, 1830);