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C₂₃×#1709 #15669328

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

212 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)(25,26)(27,28)(30,31)(32,33)(34,40)(35,43)(36,38)(37,41)(39,44)(42,46)(45,47);(24,25,28,30,29,31,27,26)(32,34,35,41,36,42,44,47)(33,37,39,40,38,45,43,46);(24,26,27,31,29,30,28,25)(33,38)(37,45)(39,43)(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, 441);