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C₂₃×#1866 #15669485

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(28,29,33,36,34,31,32,37)(30,38,40,35,42,43,41,39);(25,27)(28,30,33,40,34,42,32,41)(29,35,36,43,31,39,37,38);(28,31)(29,34)(30,39)(32,36)(33,37)(35,42)(38,40)(41,43)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 598);