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C₂₃×#3204 #15670823

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(26,30)(27,29)(28,31)(32,33,36,41)(34,43,45,38)(35,42,37,40)(39,46,47,44);(24,26)(25,28)(27,31)(29,30)(32,34,36,45)(33,38,41,43)(35,46,37,44)(39,40,47,42);(26,31)(28,30)(32,34)(33,39)(35,44)(36,45)(37,46)(38,42)(40,43)(41,47);(25,29)(28,30)(32,35,36,37)(33,40,41,42)(34,44,45,46)(38,39,43,47)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1936);