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C₂₃×#3535 #15671154

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1038 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,28)(26,30)(33,37)(34,40)(35,43)(45,47);(25,28)(29,31)(32,33,36,37)(34,41,40,38)(35,39,43,44)(42,47,46,45);(24,25)(26,29)(27,28)(30,31)(32,33)(34,38)(35,39)(36,37)(40,41)(42,45)(43,44)(46,47);(24,26)(25,29)(27,30)(28,31)(32,34,36,40)(33,38,37,41)(35,42,43,46)(39,45,44,47);(32,35)(33,39)(34,42)(36,43)(37,44)(38,45)(40,46)(41,47)

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, 2267);