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C₂₃×#3515 #15671134

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1014 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)(29,31)(32,33,37,38)(34,35,39,42)(36,44,45,40)(41,47,46,43);(33,38)(35,42)(40,44)(43,47);(24,25)(26,29)(27,28)(30,31)(32,34,37,39)(33,35,38,42)(36,41,45,46)(40,43,44,47);(32,35)(33,39)(34,38)(36,43)(37,42)(40,46)(41,44)(45,47);(24,26,27,30)(25,29,28,31)(32,36)(33,40)(34,41)(35,43)(37,45)(38,44)(39,46)(42,47)

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, 2247);