Finite Group Databasebeta

?

← Prev (#16816839) Next (#16816841) →

C₂₉×#3126 #16816840

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

382 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 53 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)(32,35)(33,34)(36,37)(39,43)(40,46)(42,48)(44,52)(47,49)(50,53);(31,34)(35,37)(38,39)(40,44)(41,43)(42,45)(46,53)(47,50)(48,51)(49,52);(38,40,41,47)(39,44,43,50)(42,49,48,46)(45,52,51,53);(30,32,33,36)(31,35,34,37)(39,43)(44,50)(45,51)(52,53)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1858);