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C₂₃×#3532 #15671151

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1336 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)(29,34)(33,36)(35,38)(37,39);(24,26)(25,29)(27,34)(28,33)(30,37)(31,32)(35,39)(36,38);(25,30)(26,33)(31,38)(34,39);(25,30)(26,34)(29,36)(31,38)(32,37)(33,39);(25,31)(29,32)(30,38)(36,37)

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, 2264);