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C₂₃×#3551 #15671170

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1050 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)(26,30)(32,33)(34,40)(35,37)(36,43)(38,41)(39,44)(42,45)(46,47);(25,28)(29,31)(33,35)(34,41)(39,43)(42,47);(24,25,27,28)(26,29,30,31)(32,34)(33,38)(35,40)(36,42)(37,41)(39,45)(43,46)(44,47);(24,26)(25,29)(27,30)(28,31)(32,35,37,33)(34,40,41,38)(36,43,44,39)(42,46,47,45);(32,36,37,44)(33,39,35,43)(34,42,41,47)(38,45,40,46)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2283);