Finite Group Databasebeta

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C₂₃×#2700 #15670319

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

506 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

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, 1432);