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C₂₃×#3520 #15671139

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1124 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)(24,25,28,29)(26,30,31,27)(33,36)(37,39);(25,29)(27,30);(24,26)(25,27)(28,31)(29,30)(32,33)(34,37)(35,36)(38,39);(24,27)(25,26)(28,30)(29,31);(24,26)(25,27)(28,31)(29,30)(32,34,35,38)(33,37,36,39)

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, 2252);