Finite Group Databasebeta

?

← Prev (#16843088) Next (#16843090) →

C₃₁×#3156 #16843089

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

532 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 67 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)(33,35)(36,37,41,45)(38,46,50,60)(39,43,51,57)(40,53,47,44)(42,54,56,49)(48,59,62,67)(52,64,61,58)(55,65,66,63);(36,38,47,54,41,50,40,49)(37,42,53,60,45,56,44,46)(39,48,61,65,51,62,52,63)(43,55,64,67,57,66,58,59);(32,33,34,35)(36,39)(37,43)(38,48)(40,52)(41,51)(42,55)(44,58)(45,57)(46,59)(47,61)(49,63)(50,62)(53,64)(54,65)(56,66)(60,67);(39,51)(43,57)(48,62)(52,61)(55,66)(58,64)(59,67)(63,65)

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, 1888);