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C₂₉×#2597 #16816311

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

454 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)(32,34)(33,36)(35,37)(38,39,42,41)(40,44,45,43)(47,49)(51,52);(31,32)(35,36)(40,45)(43,44)(46,47,50,49)(48,52,53,51);(30,32,34,31)(33,36,37,35)(38,40,42,45)(39,43,41,44)(46,48,50,53)(47,51,49,52);(30,33)(31,35)(32,36)(34,37)(38,41,42,39)(40,44,45,43)(46,49,50,47)(48,52,53,51)

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1329);