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C₂₉×#2645 #16816359

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

352 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)(30,31,34,32)(33,35,37,36)(40,44)(42,45)(46,47,50,48)(49,52,53,51);(31,32)(35,36)(38,39,41,43)(40,45,44,42)(46,48,50,47)(49,52,53,51);(30,32,34,31)(33,35,37,36)(38,40)(39,42)(41,44)(43,45)(46,49)(47,51)(48,52)(50,53);(30,33,34,37)(31,35,32,36)

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, 1377);