Finite Group Databasebeta

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#17043441

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1390 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=g,d^2=h,f^2=h,b^a=be,c^a=cf,d^a=de,f^a=fh,i^a=i^16,c^b=ce,d^b=dh,f^c=fh

Conjugacy classes & character table

404 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 178685);