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C₂₉×#3265 #16816979

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

546 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 41 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29)(30,31)(32,33)(35,38)(36,41)(39,40);(34,35,37,40)(36,39,41,38);(31,33);(35,39)(36,41)(38,40)

Conjugacy classes & character table

841 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1997);