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C₂₉×#3276 #16816990

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(36,42,45,49)(38,47,48,41)(40,43,46,44);(34,36,39,45)(35,40,37,46)(38,43,48,44)(41,49,47,42);(31,33)(34,37,39,35)(36,40,45,46)(38,47,48,41)(42,43,49,44);(36,43)(38,48)(40,49)(41,47)(42,46)(44,45)

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, 2008);