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C₃₁×#2789 #16842722

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

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, 1521);