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C₃₁×#2645 #16842578

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

352 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)(32,33,36,34)(35,37,39,38)(42,46)(44,47)(48,49,52,50)(51,54,55,53);(33,34)(37,38)(40,41,43,45)(42,47,46,44)(48,50,52,49)(51,54,55,53);(32,34,36,33)(35,37,39,38)(40,42)(41,44)(43,46)(45,47)(48,51)(49,53)(50,54)(52,55);(32,35,36,39)(33,37,34,38)

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, 1377);