Finite Group Databasebeta

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#19212263

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

646 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,23|a^2=e,c^2=fgh,d^2=g,e^2=h,b^a=bd,c^a=cf,d^a=df,i^a=i^22,d^b=dg,e^b=efg,i^b=i^22

Conjugacy classes & character table

680 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5888, 57625);