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C₂₃×#2772 #15670391

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

378 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)(26,30)(27,28)(29,31)(33,34)(37,38)(40,41,44,47)(42,45,46,43);(25,28)(26,31)(32,33,36,34)(35,38,39,37)(40,42,44,46)(41,45,47,43);(24,25)(26,29)(27,28)(30,31)(32,34,36,33)(35,38,39,37)(40,43,44,45)(41,46,47,42);(24,26,27,31)(25,29,28,30)(32,35,36,39)(33,37,34,38)(40,41)(42,45)(43,46)(44,47)

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, 1504);