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C₂₃×#2811 #15670430

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

432 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)(34,38)(35,36)(37,39)(41,42)(45,46);(25,26)(27,31)(33,36)(34,39)(40,41,44,42)(43,46,47,45);(24,26,28,25)(27,30,31,29)(32,34)(33,37)(35,39)(36,38)(40,42,44,41)(43,46,47,45);(24,27,28,31)(25,29,26,30)(32,33)(34,37)(35,36)(38,39)(40,43)(41,45)(42,46)(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, 1543);