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C₂₉×#1410 #16815124

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

104 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 45 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)(30,31,32,37,34,38,41,45)(33,35,39,43,42,36,40,44);(31,35)(32,39)(33,42)(36,38)(40,41)(43,44)

Conjugacy classes & character table

493 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 142);