Finite Group Databasebeta

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C₃₁×#3043 #16842976

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

490 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)(38,44)(39,46)(41,48)(43,50)(45,47)(49,51);(32,33,34,35)(36,37)(38,41)(39,43)(40,42)(44,48)(45,49)(46,50)(47,51);(36,38,40,45)(37,41,42,49)(39,47,46,44)(43,51,50,48);(37,42)(41,49)(43,50)(48,51)

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, 1775);