Finite Group Databasebeta

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#25005601

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

282 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=d,b^2=e,d^2=f,e^2=g,f^2=h,b^a=bf,e^a=eh,c^b=ch,d^b=dh,i^b=i^42

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 78572);