Finite Group Databasebeta

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C₃₁×#3514 #16843447

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(34,39)(35,38)(36,37)(41,44)(45,47);(33,37)(38,39);(32,34,36,35)(33,38,37,39)(40,41)(42,45)(43,44)(46,47);(32,33)(34,38)(35,39)(36,37);(32,35,36,34)(33,39,37,38)(40,42,43,46)(41,45,44,47)

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, 2246);