Finite Group Databasebeta

?

← Prev (#16816187) Next (#16816189) →

C₂₉×#2474 #16816188

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 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)(36,38)(37,40)(39,41)(42,43)(44,45)(46,48)(47,49);(31,33)(35,36)(39,40)(42,44,46,49)(43,45,48,47);(30,31)(32,33)(34,36,38,35)(37,40,41,39)(42,44)(43,47)(45,48)(46,49);(34,37,38,41)(35,39,36,40)(42,45,46,47)(43,44,48,49)

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, 1206);