Finite Group Databasebeta

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#34012158

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

586 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=e,b^2=f,d^2=h,e^2=g,g^2=h,b^a=bd,c^a=ch,i^a=i^27,d^b=dh,e^b=eh,i^b=i^72,i^e=i^72

Conjugacy classes & character table

808 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1095742);