Finite Group Databasebeta

?

← Prev (#16817036) Next (#16817038) →

C₂₉×#3323 #16817037

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(30,31,33,35)(32,36,37,34)(38,39,42,45)(40,43,47,51)(41,44,49,46)(48,52,53,50);(30,32)(31,34)(33,37)(35,36)(38,40)(39,43)(41,48)(42,47)(44,52)(45,51)(46,50)(49,53);(39,44)(40,47)(41,49)(43,50)(45,46)(51,52);(32,37)(34,36)(39,45)(43,51)(44,46)(50,52)

Conjugacy classes & character table

841 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 2055);