Finite Group Databasebeta

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C₃₁×#2354 #16842287

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

632 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 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)(36,37,38,39)(41,42)(45,46);(33,34)(40,41,44,42)(43,46,47,45);(40,42,44,41)(43,46,47,45);(32,34,35,33)(40,43,44,47)(41,45,42,46)

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, 1086);