Finite Group Databasebeta

?

← Prev (#16816979) Next (#16816981) →

C₂₉×#3266 #16816980

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

494 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 1998);