Finite Group Databasebeta

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#17982866

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

734 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=f,c^2=f,d^2=g,e^2=g,f^2=h,b^a=be,c^a=cg,e^a=eg,i^a=i^8,e^b=eg,i^c=i^9,i^f=i^13,i^h=i^16

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1118110);