Finite Group Databasebeta

?

← Prev (#16816200) Next (#16816202) →

C₂₉×#2487 #16816201

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

584 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)(31,33)(35,38)(36,40)(42,43,46,49)(44,48,45,47);(34,35,37,38)(36,39,40,41)(42,44,46,45)(43,47,49,48);(30,31)(32,33)(34,35)(36,39)(37,38)(40,41)(42,43)(44,47)(45,48)(46,49);(34,36,37,40)(35,39,38,41)(42,45,46,44)(43,48,49,47)

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, 1219);