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C₂₃×#3285 #15670904

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 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)(30,36)(31,39)(34,37)(35,40)(42,43);(28,29,32,35)(30,37,36,42)(31,40,39,33)(34,41,43,38);(25,27);(28,30,32,36)(29,34,35,43)(31,41,39,38)(33,42,40,37)

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, 2017);