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C₂₉×#3278 #16816992

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

482 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 49 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)(32,33)(34,35,39,37)(36,42,43,49)(38,46,48,41)(40,47,45,44);(34,36,39,43)(35,40,37,45)(38,47,48,44)(41,49,46,42);(31,33)(36,43)(40,45)(42,49)(44,47);(34,37,39,35)(36,42,43,49)(38,41,48,46)(40,47,45,44)

Conjugacy classes & character table

841 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 2010);