Finite Group Databasebeta

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#32160025

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

2124 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,71|a^2=h,b^2=f,c^2=g,d^2=f,e^2=fgh,b^a=bf,c^a=cg,e^a=ef,i^a=i^70,d^b=df,i^e=i^70

Conjugacy classes & character table

1838 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 332141);