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D₄⋊AGL(1,𝔽₉) #10593268

• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

109 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,3^2|a^2=c,c^2=e,d^2=f,b^a=bd,d^a=df,g^a=g^2h^2,h^a=g^2,d^b=df,g^c=g^2h,h^c=gh,g^e=g^2,h^e=h^2

Conjugacy classes & character table

33 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(576, 5150);