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C₂₉×#2867 #16816581

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1272 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 41 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)(35,36)(39,40);(34,35,37,36);(38,39,41,40);(30,31,32,33)(34,36,37,35)(38,40,41,39)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1599);