Finite Group Databasebeta

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#17078536

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

960 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=h,b^2=fh,c^2=h,d^2=h,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^16,c^b=cg,d^b=dh,e^b=eh,i^b=i^16,i^c=i^16,e^d=eh,i^d=i^16

Conjugacy classes & character table

302 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 213780);