Finite Group Databasebeta

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C₃₁×#3501 #16843434

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1100 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)(40,41,43,45)(42,46,47,44);(33,36)(37,38);(40,42,43,47)(41,44,45,46);(32,33)(34,37)(35,36)(38,39);(32,34)(33,37)(35,39)(36,38)

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, 2233);