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C₂₃×#3280 #15670899

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 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)(28,29,32,34)(30,36,39,43)(31,40,41,35)(33,37,42,38);(28,30)(29,33)(31,37)(32,39)(34,42)(35,43)(36,40)(38,41);(25,27);(29,34)(30,37)(31,41)(33,36)(38,39)(42,43)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2012);