Finite Group Databasebeta

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C₃₁×#3041 #16842974

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 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)(33,35)(36,37)(38,41)(39,42)(40,44)(43,47)(45,49)(46,48)(50,51);(32,33,34,35)(36,38)(37,41)(39,46)(40,45)(42,48)(43,50)(44,49)(47,51);(37,42)(39,47)(41,48)(43,44)(46,51)(49,50);(38,45)(41,49)(46,51)(48,50)

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, 1773);