Finite Group Databasebeta

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#30767127

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,67|a^2=e,b^2=fh,d^2=gh,e^2=fgh,g^2=h,b^a=bd,c^a=ch,d^a=df,i^a=i^66,d^b=dg,e^b=efg,g^b=gh,i^b=i^66

Conjugacy classes & character table

1894 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 80864);