Finite Group Databasebeta

?

← Prev (#16815890) Next (#16815892) →

C₂₉×#2177 #16815891

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

172 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 49 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)(30,31,33,32)(34,35,37,40)(36,39,45,47)(38,46,44,42)(41,49,48,43);(35,39)(36,43)(38,44)(40,47)(41,42)(45,49)(46,48);(30,32,33,31)(35,40)(39,47)(41,48)(42,46)

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, 909);