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C₃₁×#3341 #16843274

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

364 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)(32,33,36,35)(34,38,39,37)(40,41,45,48)(42,46,44,52)(43,50,51,54)(47,53,55,49);(32,34)(33,37)(35,38)(36,39)(40,42,45,44)(41,46,48,52)(43,49,51,53)(47,54,55,50);(32,35,36,33)(34,38,39,37)(40,43)(41,47)(42,49)(44,53)(45,51)(46,54)(48,55)(50,52);(34,39)(37,38)(40,42,45,44)(41,46,48,52)(43,49,51,53)(47,54,55,50)

Conjugacy classes & character table

1085 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2073);