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C₂₉×#3153 #16816867

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

572 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)(31,33)(34,35)(36,42)(37,45)(38,40)(39,44)(41,46)(43,48)(47,49);(34,36,37,44,38,43,46,49)(35,39,41,42,40,47,45,48);(30,31,32,33)(35,40)(39,47)(41,45)(42,48);(36,43)(39,47)(42,48)(44,49)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1885);