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C₂₉×#1406 #16815120

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

108 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)(33,36,39,44)(34,38,40,45)(35,41,43,42);(31,35)(32,39)(33,42)(36,38)(40,41)(43,44)

Conjugacy classes & character table

406 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 138);