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C₂₃×#3461 #15671080

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1012 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(26,29)(27,28)(30,31)(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)(29,31)(32,35,36,44)(33,38,39,47)(34,41,42,43)(37,45,40,46);(33,39)(37,40)(38,47)(45,46);(24,26,27,30)(25,29,28,31)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2193);