Finite Group Databasebeta

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C₂₃×#2805 #15670424

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

368 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1537);