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C₂₉×#2244 #16815958

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(32,35)(33,34)(36,37)(39,45)(40,51)(41,46)(42,53)(43,47)(48,49)(50,52);(31,34)(35,37)(38,39,46,40,43,49,53,52,44,50,42,48,47,51,41,45);(30,32,33,36)(31,35,34,37)(38,40,41,39,47,45,42,51,44,48,53,50,43,52,46,49)

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, 976);