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C₂₃×#2645 #15670264

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

352 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)(27,29,31,30)(34,38)(36,39)(40,41,44,42)(43,46,47,45);(25,26)(29,30)(32,33,35,37)(34,39,38,36)(40,42,44,41)(43,46,47,45);(24,26,28,25)(27,29,31,30)(32,34)(33,36)(35,38)(37,39)(40,43)(41,45)(42,46)(44,47);(24,27,28,31)(25,29,26,30)

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, 1377);