Finite Group Databasebeta

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#36369906

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,173|a^2=e,b^2=d,d^2=g,e^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^80,c^b=cg,h^b=h^172,h^e=h^172

Conjugacy classes & character table

904 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 20853);