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C₂₉×#3307 #16817021

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

394 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)(30,31,33,35)(32,36,37,34)(38,39)(40,47)(41,45)(42,50)(43,46)(44,49)(48,53)(51,52);(30,32)(31,34)(33,37)(35,36)(40,48)(44,52)(47,53)(49,51);(38,40)(39,44)(41,49)(42,51)(43,48)(45,53)(46,52)(47,50);(32,37)(34,36)(38,41,43,42)(39,45,46,50)(40,49,48,51)(44,53,52,47)

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, 2039);