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C₂₃×#3351 #15670970

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

348 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)(34,37)(35,38)(36,39)(40,43)(41,45)(42,46)(44,47);(24,26)(25,29)(27,30)(28,31)(32,34)(33,37)(35,42)(36,41)(38,46)(39,45)(40,44)(43,47);(24,27,28,25)(26,30,31,29)(33,38)(34,41)(35,43)(37,44)(39,40)(45,46);(26,31)(29,30)(33,39)(37,45)(38,40)(44,46)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2083);