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C₂₃×#1411 #15669030

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,27,32,29,34,41,51)(26,35,36,49,38,46,53,54)(28,33,43,50,44,31,40,48)(30,39,45,42,47,52,55,37);(24,26,29,38)(25,30,34,47)(27,39,41,52)(28,42,44,37)(31,46,33,35)(32,49,51,54)(36,40,53,43)(45,50,55,48)

Conjugacy classes & character table

391 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 143);