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C₂₃×#3490 #15671109

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1328 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 39 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)(26,32)(27,31)(28,30)(29,33)(34,38)(35,37)(36,39);(24,26,28,34)(25,29,30,36)(27,33,35,39)(31,32,37,38);(25,30)(29,36)(31,37)(32,38);(26,33)(29,32)(34,39)(36,38);(25,31)(29,32)(30,37)(36,38)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2222);