Finite Group Databasebeta

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#25106154

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

970 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=g,b^2=e,c^2=e,f^2=h,b^a=be,c^a=cf,d^a=de,f^a=fh,i^a=i^42,c^b=ce,d^b=dh,i^b=i^42,f^c=fh,i^c=i^42

Conjugacy classes & character table

850 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 179125);