Finite Group Databasebeta

?

← Prev (#16816324) Next (#16816326) →

C₂₉×#2611 #16816325

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 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)(42,43,45,47)(44,48,49,46);(34,35,37,39)(36,38,40,41)(42,44,45,49)(43,46,47,48);(30,31)(32,33)(34,35)(36,38)(37,39)(40,41);(34,36,37,40)(35,38,39,41)(42,43)(44,46)(45,47)(48,49)

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1343);