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C₂₃×#3338 #15670957

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

356 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(24,25,28,27)(26,30,31,29)(32,33)(34,41)(35,39)(36,38)(37,42)(40,44)(43,46)(45,47);(24,26)(25,29)(27,30)(28,31)(32,34)(33,37)(35,42)(36,43)(38,45)(39,41)(40,46)(44,47);(24,27,28,25)(26,30,31,29)(33,38)(36,44)(37,45)(39,40)(41,46)(43,47);(26,31)(29,30)(34,42)(37,41)(43,47)(45,46)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2070);