Finite Group Databasebeta

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C₃₁×#3508 #16843441

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1232 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)(34,38)(35,36)(37,39)(40,41)(42,46)(43,45)(44,47);(33,36)(37,38)(40,41,44,47)(42,45,43,46);(40,42,44,43)(41,45,47,46);(32,33)(34,37)(35,36)(38,39)(40,41)(42,45)(43,46)(44,47);(32,34,35,39)(33,37,36,38)(40,43,44,42)(41,46,47,45)

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, 2240);