Finite Group Databasebeta

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D₁₇₂₃ #16812263

• 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 1723 points:

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Polycyclic presentation:

2,1723|b^a=b^1722

Conjugacy classes & character table

863 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3446, 1);