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C₂×C₂₉×#407 #16816591

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1008 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2)(15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43);(3,4)(5,6)(7,8,9,12,10,11,13,14);(4,6);(8,11)(12,14)

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1609);