Finite Group Databasebeta

?

← Prev (#16817230) Next (#16817232) →

C₂₉×#3517 #16817231

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1122 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(31,33)(35,36)(39,42)(43,45);(30,31,34,33)(32,36,37,35);(30,31,34,33)(32,35,37,36)(38,39)(40,43)(41,42)(44,45);(30,32,34,37)(31,35,33,36);(30,33,34,31)(32,36,37,35)(38,40,41,44)(39,43,42,45)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 2249);