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C₂₃×#2978 #15670597

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(32,33,35,39,36,38,42,45)(34,37,41,44,40,43,46,47);(24,26)(25,28)(27,31)(29,30)(32,34)(33,37)(35,41)(36,40)(38,43)(39,44)(42,46)(45,47);(26,31)(28,30)(33,38)(34,40)(39,45)(41,46);(25,29)(28,30)(34,40)(37,43)(41,46)(44,47)

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, 1710);