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C₂₉×#1413 #16815127

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

78 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 61 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)(30,31,33,38,35,40,47,57)(32,41,43,59,42,58,60,55)(34,39,49,56,50,37,46,54)(36,51,52,44,53,45,61,48);(30,32,35,42)(31,36)(33,45,47,51)(34,48,50,44)(37,41)(38,55)(39,58)(40,53)(43,46,60,49)(52,54)(56,61)(57,59)

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, 145);