Finite Group Databasebeta

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C₂₃×#2482 #15670101

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

672 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)(25,27)(28,29,31,33)(30,34,35,32)(37,40)(38,42);(28,30,31,35)(29,32,33,34)(36,37,39,40)(38,41,42,43);(24,25)(26,27)(28,30)(29,32)(31,35)(33,34);(28,29)(30,32)(31,33)(34,35)(36,38)(37,41)(39,42)(40,43)

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, 1214);