Finite Group Databasebeta

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C₃₁×#3062 #16842995

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

504 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)(39,46)(42,47)(43,48)(45,50)(49,51);(36,37,39,41,40,43,46,48)(38,42,45,47,44,49,50,51);(33,35)(36,38)(37,42)(39,45)(40,44)(41,47)(43,49)(46,50)(48,51);(37,43)(38,44)(41,48)(45,50)

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, 1794);