Finite Group Databasebeta

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C₂₃×#3226 #15670845

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

404 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)(26,28)(27,30)(29,31)(32,33)(34,40)(35,38)(36,39)(37,42)(41,46)(43,45)(44,47);(32,34,36,42)(33,37,39,40)(35,43,44,41)(38,46,47,45);(25,28)(26,31)(29,30)(32,35,36,44)(33,38,39,47)(34,41,42,43)(37,45,40,46);(33,39)(37,40)(38,47)(45,46)

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, 1958);