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C₃₁×#3510 #16843443

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1040 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(34,38)(36,39)(40,41)(42,46)(43,50)(44,45)(47,51)(48,54)(49,52)(53,55);(32,33,35,37)(34,36,38,39)(41,45)(46,52)(47,50)(53,54);(32,34,35,38)(33,36,37,39)(40,42,44,49)(41,46,45,52)(43,48,51,55)(47,53,50,54);(40,41)(42,46)(43,47)(44,45)(48,53)(49,52)(50,51)(54,55);(40,43,44,51)(41,47,45,50)(42,48,49,55)(46,53,52,54)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2242);