Finite Group Databasebeta

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#13263129

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,7|a^2=e,c^2=fg,d^2=h,e^2=g,g^2=h,b^a=bd,d^a=df,i^a=i^6,c^b=ch,d^b=dh,e^b=efh

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 78901);