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C₃₁×#2791 #16842724

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

360 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)(33,36)(34,38)(40,41)(42,46)(43,44)(45,47)(48,49,52,55)(50,54,51,53);(33,36)(37,39)(40,42,44,47)(41,45,43,46);(32,33,35,36)(34,37,38,39)(40,43,44,41)(42,45,47,46)(48,50,52,51)(49,53,55,54);(32,34,35,38)(33,37,36,39)(40,42)(41,46)(43,45)(44,47)(48,51,52,50)(49,54,55,53)

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, 1523);