Finite Group Databasebeta

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C₃₁×#2347 #16842280

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

Conjugacy classes & character table

1550 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1079);