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C₂₃×#3218 #15670837

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 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)(34,40)(35,37)(36,44)(38,42)(39,43)(41,47)(45,46);(24,26,27,31)(25,28,29,30)(33,37)(38,46)(39,44)(40,47);(26,31)(28,30)(32,34,35,41)(33,38,37,46)(36,45,43,42)(39,47,44,40);(25,29)(28,30)(33,37)(38,46)(39,44)(40,47)

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, 1950);