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C₂₉×#3232 #16816946

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 61 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)(32,38)(33,36)(34,37)(35,40)(39,44)(41,43)(42,45)(46,47)(48,51)(49,52)(50,54)(53,57)(55,58)(56,60)(59,61);(30,32,34,40)(31,35,37,38)(33,41,42,39)(36,44,45,43)(46,48,50,56)(47,51,54,60)(49,55,57,61)(52,58,53,59);(30,33,34,42)(31,36,37,45)(32,39,40,41)(35,43,38,44)(47,52)(49,57)(51,58)(53,54)(55,61)(59,60);(31,37)(35,38)(36,45)(43,44)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1964);