Finite Group Databasebeta

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C₃₁×#2370 #16842303

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

464 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)(32,33,35,34)(36,37,40,39)(38,42,43,41)(44,45)(46,50)(47,51)(48,49);(32,34,35,33)(37,39)(41,42)(45,49)(47,50);(36,38)(37,41)(39,42)(40,43)(44,46,48,51)(45,50,49,47);(36,39,40,37)(38,42,43,41)(44,47,48,50)(45,51,49,46)

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, 1102);