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C₂₉×#3271 #16816985

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

488 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)(35,40)(36,38)(41,48)(42,46)(43,47)(44,49);(34,35,39,42)(36,40,38,46)(37,44,45,48)(41,47,49,43);(31,33)(34,36,39,38)(35,40,42,46)(37,43,45,47)(41,48,49,44);(34,37,39,45)(35,41,42,49)(36,43,38,47)(40,48,46,44)

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, 2003);