Finite Group Databasebeta

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#28298872

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

88 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,53|a^2=c,b^2=d,c^2=e,d^2=f,e^2=g,g^2=h,b^a=be,d^a=dgh,f^a=fh,i^a=i^30,c^b=cgh,e^b=eh,i^b=i^52,d^c=dh,i^c=i^52

Conjugacy classes & character table

566 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1084348);