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D₄×M₁₆×C₂₉ #16816648

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

544 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 41 points:

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

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, 1666);