Finite Group Databasebeta

?

← Prev (#15669458) Next (#15669460) →

C₂₃×#1840 #15669459

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

196 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 55 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)(26,31)(27,29)(28,30)(32,33)(34,36)(35,37)(38,39)(40,41,43,46,44,47,50,53)(42,45,49,52,48,51,54,55);(24,26,28,27)(25,29,30,31)(32,34,35,38)(33,36,37,39)(40,42)(41,45)(43,49)(44,48)(46,52)(47,51)(50,54)(53,55);(24,27,28,26)(25,29,30,31)(33,37)(36,39)(42,48)(45,51)(49,54)(52,55)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 572);