Finite Group Databasebeta

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D₁₆₆₇ #16809733

• metacyclic
• supersolvable
• metabelian
• solvable
• monolithic
• monomial
• stem
• Frobenius
• ambivalent

Aliases

Splittings

Subgroups

4 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 1667 points:

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Polycyclic presentation:

2,1667|b^a=b^1666

Conjugacy classes & character table

835 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3334, 1);