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C₂₉×#1849 #16815563

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

212 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 49 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)(31,33)(34,35,38,41,39,42,37,47)(36,43,46,48,44,49,45,40);(34,36,37,45,39,44,38,46)(35,40,41,43,42,48,47,49);(30,31,32,33)(36,44)(40,48)(43,49)(45,46)

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, 581);