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C₂₃×#2743 #15670362

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

448 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)(24,25,28,26)(27,30,31,29)(32,33)(34,35)(36,37)(38,39)(40,41)(42,45)(43,47)(44,46);(25,26)(27,31)(33,37)(35,39)(40,42,44,47)(41,45,46,43);(24,26,28,25)(27,30,31,29)(32,34,36,38)(33,35,37,39)(40,42)(41,43)(44,47)(45,46);(24,27)(25,29)(26,30)(28,31)(32,35)(33,38)(34,37)(36,39)(40,43)(41,42)(44,45)(46,47)

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, 1475);