Finite Group Databasebeta

?

← Prev (#16842584) Next (#16842586) →

C₃₁×#2652 #16842585

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(40,41,44,42)(43,45,47,46)(48,49,52,51)(50,54,55,53);(41,42)(45,46)(50,55)(53,54);(32,33)(34,37)(35,36)(38,39)(40,42,44,41)(43,45,47,46)(48,50)(49,53)(51,54)(52,55);(32,34,35,38)(33,37,36,39)(40,43)(41,45)(42,46)(44,47)(48,51,52,49)(50,54,55,53)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1384);