Finite Group Databasebeta

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#27211199

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

8 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 1677 points:

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Polycyclic presentation:

2^3,1669|a^2=b,b^2=c,d^a=d^1449,d^b=d^1668

Conjugacy classes & character table

842 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13352, 13);