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C₂₃×#3057 #15670676

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 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)(26,27)(29,33)(31,38)(34,39)(35,40)(37,42)(41,43);(28,29,31,33,32,35,38,40)(30,34,37,39,36,41,42,43);(25,27)(28,30)(29,34)(31,37)(32,36)(33,39)(35,41)(38,42)(40,43);(30,36)(34,41)(37,42)(39,43)

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, 1789);