Finite Group Databasebeta

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C₃₁×#2725 #16842658

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

434 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)(37,38)(41,42)(44,45,48,51)(46,49,50,47);(33,35)(36,37,40,38)(39,42,43,41)(44,46,48,50)(45,49,51,47);(32,33)(34,35)(36,38,40,37)(39,42,43,41)(44,47,48,49)(45,50,51,46);(36,39,40,43)(37,41,38,42)(44,45)(46,49)(47,50)(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, 1457);