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C₂₉×#3254 #16816968

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(31,34)(32,36)(38,39,42,45)(40,43,41,44);(30,31)(32,35)(33,34)(36,37)(38,40,42,41)(39,43,45,44);(31,34)(35,37)(39,44)(40,41)(43,45);(30,32,33,36)(31,35,34,37)

Conjugacy classes & character table

754 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1986);