Finite Group Databasebeta

?

← Prev (#16815125) Next (#16815127) →

C₂₉×#1412 #16815126

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 45 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)(32,39,41,45)(33,37,43,36)(34,38)(35,40,44,42);(30,32,34,40)(31,35)(33,42,43,41)(36,39)(37,44)(38,45)

Conjugacy classes & character table

406 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 144);