Finite Group Databasebeta

?

← Prev (#14560677) Next (#14560679) →

C₁₉×#2821 #14560678

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(24,25,27,29)(26,28,30,31)(33,37)(38,40)(39,43)(46,47);(21,23)(26,30)(28,31)(32,33)(34,40)(35,43)(36,37)(38,42)(39,45)(41,46)(44,47);(20,21)(22,23)(24,25)(26,28)(27,29)(30,31)(32,34,36,42)(33,38,37,40)(35,44,45,41)(39,47,43,46);(24,26)(25,28)(27,30)(29,31)(32,35,36,45)(33,39,37,43)(34,41,42,44)(38,46,40,47)

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1553);