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M₁₆×D₁₆ #484063

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

522 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 24 points:

(1,2,3,4,5,6,7,8);(2,6)(4,8);(9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24);(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)

Conjugacy classes & character table

110 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 391259);