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C₂₃×#3225 #15670844

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

376 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)(33,38)(34,41)(35,37)(39,46)(42,47)(43,45);(24,26,27,31)(25,28,29,30)(32,33)(34,42)(35,44)(36,38)(37,40)(39,43)(41,46)(45,47);(26,31)(28,30)(32,34)(33,39)(35,41)(36,43)(37,45)(38,42)(40,46)(44,47);(25,29)(28,30)(32,35,36,37)(33,40,38,44)(34,41,43,45)(39,46,42,47)

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, 1957);