Finite Group Databasebeta

?

← Prev (#16816277) Next (#16816279) →

C₂₉×#2564 #16816278

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

584 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)(31,33)(34,35,38,39)(36,37,40,41)(43,44)(45,49);(35,39)(36,40)(42,43,46,44)(45,47,49,48);(30,31,32,33)(34,36)(35,37)(38,40)(39,41)(42,44,46,43)(45,48,49,47);(34,37)(35,36)(38,41)(39,40)(42,45)(43,47)(44,48)(46,49)

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, 1296);