Finite Group Databasebeta

?

← Prev (#16816406) Next (#16816408) →

C₂₉×#2693 #16816407

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

568 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)(34,35)(36,39)(37,38)(40,41)(43,44)(47,48);(31,33)(35,37)(36,40)(42,43,46,44)(45,48,49,47);(30,31)(32,33)(34,36,38,40)(35,39,37,41)(42,44,46,43)(45,48,49,47);(34,37,38,35)(36,41,40,39)(42,45,46,49)(43,47,44,48)

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, 1425);