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C₂₃×#2739 #15670358

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(32,33,35,37)(34,38,39,36)(40,41)(42,47)(43,44)(45,46);(25,28)(29,30)(32,33,35,37)(34,36,39,38)(40,42,45,43)(41,44,46,47);(24,26,27,31)(25,29,28,30)(32,33)(34,36)(35,37)(38,39)(40,43,45,42)(41,44,46,47);(24,25)(26,29)(27,28)(30,31)(32,34)(33,36)(35,39)(37,38)(40,44)(41,42)(43,46)(45,47)

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, 1471);