Finite Group Databasebeta

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C₃₁×#2862 #16842795

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

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1594);