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C₂₃×#3269 #15670888

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

478 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)(28,29,33,31)(30,36,40,43)(32,41,42,35)(34,38,37,39);(28,30,33,40)(29,34,31,37)(32,38,42,39)(35,43,41,36);(25,27)(28,31,33,29)(30,37,40,34)(32,41,42,35)(36,39,43,38);(30,38)(32,42)(34,43)(35,41)(36,37)(39,40)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2001);