Finite Group Databasebeta

?

← Prev (#16843027) Next (#16843029) →

C₃₁×#3095 #16843028

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

410 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)(32,33)(34,37)(35,36)(38,39)(40,41,45,49)(42,50,52,55)(43,48,44,47)(46,53,54,51);(33,36)(37,39);(32,34,35,38)(33,37,36,39)(40,42)(41,46)(43,51)(44,53)(45,52)(47,50)(48,55)(49,54);(40,43,45,44)(41,47,49,48)(42,51,52,53)(46,50,54,55)

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, 1827);