Finite Group Databasebeta

?

← Prev (#16816665) Next (#16816667) →

C₂₉×#2952 #16816666

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(30,31,33,32)(34,35,40,45)(36,46,37,42)(38,44,39,43)(41,48,49,47);(34,36,40,37)(35,41,45,49)(38,47,39,48)(42,43,46,44);(30,32,33,31)(34,37,40,36)(35,42,45,46)(38,47,39,48)(41,43,49,44);(34,38,40,39)(35,43,45,44)(36,47,37,48)(41,46,49,42)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1684);