Finite Group Databasebeta

?

← Prev (#16816285) Next (#16816287) →

C₂₉×#2572 #16816286

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 53 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)(31,34)(35,37)(38,39,41,42)(40,44,45,43)(46,47,49,51)(48,50,52,53);(39,42)(43,44)(46,47,49,51)(48,50,52,53);(30,31)(32,35)(33,34)(36,37)(38,39)(40,43)(41,42)(44,45)(46,47)(48,50)(49,51)(52,53);(30,32,33,36)(31,35,34,37)(38,40,41,45)(39,43,42,44)(46,48,49,52)(47,50,51,53)

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, 1304);