Finite Group Databasebeta

?

← Prev (#16842764) Next (#16842766) →

C₃₁×#2832 #16842765

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

416 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 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)(33,36)(37,39)(40,41)(42,44)(43,45)(46,47)(48,49,52,51)(50,53,54,55);(34,38)(37,39)(41,42)(45,46)(49,51)(53,55);(32,33)(34,37)(35,36)(38,39)(40,42,44,41)(43,45,47,46)(48,50,52,54)(49,53,51,55);(32,34)(33,37)(35,38)(36,39)(40,43,44,47)(41,45,42,46)(48,51,52,49)(50,53,54,55)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1564);