Finite Group Databasebeta

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C₃₁×#3277 #16843210

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 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)(34,35)(37,41)(39,47)(42,48)(43,50)(44,51)(45,49);(36,37,40,42)(38,44,46,50)(39,48,47,41)(43,49,51,45);(33,35)(37,42)(41,48)(43,51)(44,50);(36,38,40,46)(37,43,42,51)(39,49,47,45)(41,50,48,44)

Conjugacy classes & character table

899 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2009);