Finite Group Databasebeta

?

← Prev (#16816524) Next (#16816526) →

C₂₉×#2811 #16816525

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

432 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)(30,31,34,32)(33,36,37,35)(38,39)(40,44)(41,42)(43,45)(47,48)(51,52);(31,32)(33,37)(39,42)(40,45)(46,47,50,48)(49,52,53,51);(30,32,34,31)(33,36,37,35)(38,40)(39,43)(41,45)(42,44)(46,48,50,47)(49,52,53,51);(30,33,34,37)(31,35,32,36)(38,39)(40,43)(41,42)(44,45)(46,49)(47,51)(48,52)(50,53)

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, 1543);