Finite Group Databasebeta

?

← Prev (#16816254) Next (#16816256) →

C₂₉×#2541 #16816255

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

948 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 41 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)(31,32)(34,35,36,37);(30,31,33,32)(38,39,40,41);(34,35)(36,37)(38,39)(40,41);(30,32,33,31)

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, 1273);