Finite Group Databasebeta

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C₂₃×#2508 #15670127

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

380 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)(24,25,28,26)(27,30,31,29)(33,35)(34,38)(41,45)(43,46);(25,26)(29,30)(32,33,36,35)(34,37,38,39)(40,41)(42,46)(43,47)(44,45);(24,26,28,25)(27,30,31,29)(32,34)(33,37)(35,39)(36,38)(40,42,44,47)(41,46,45,43);(24,27,28,31)(25,29,26,30)(32,35,36,33)(34,39,38,37)(40,43,44,46)(41,47,45,42)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1240);