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C₂₉×#3179 #16816893

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

374 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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, 1911);