Finite Group Databasebeta

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C₂₃×#3394 #15671013

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

372 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)(25,29)(30,31)(32,33,36,40)(34,37,42,46)(35,38,43,39)(41,44,47,45);(24,25,28,29)(26,30,27,31)(32,34,36,42)(33,37,40,46)(35,41,43,47)(38,44,39,45);(24,26,28,27)(25,30,29,31)(33,38)(35,43)(37,44)(39,40)(41,47)(45,46);(24,27,28,26)(25,30,29,31)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2126);