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C₂₉×#2932 #16816646

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(34,35,38,42,39,41,47,48)(36,40,44,37,43,45,49,46);(31,33)(34,36)(35,40)(37,42)(38,44)(39,43)(41,45)(46,48)(47,49);(34,37,38,45,39,46,47,40)(35,36,42,44,41,43,48,49);(35,41)(36,43)(42,48)(44,49)

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, 1664);