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C₂₉×#3475 #16817189

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 45 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)(31,34)(35,37)(38,39)(40,42)(41,43)(44,45);(30,31)(32,35)(33,34)(36,37)(38,40,41,44)(39,42,43,45);(39,43)(42,45);(31,34)(35,37);(30,32,33,36)(31,35,34,37)

Conjugacy classes & character table

1450 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 2207);