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C₂₃×#2030 #15669649

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

290 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(24,25,27,29)(26,30,31,28)(32,33)(34,37)(35,38)(36,39)(40,45)(41,44)(42,46)(43,47);(24,26,27,31)(25,28,29,30)(32,34)(33,37)(35,40)(36,41)(38,45)(39,44)(42,47)(43,46);(32,35,36,42)(33,38,39,46)(34,40,41,47)(37,43,44,45)

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, 762);