Finite Group Databasebeta

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#16777004

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=d,b^2=h,c^2=fh,d^2=efh,e^2=g,f^2=h,b^a=bc,c^a=ce,e^a=eg,f^a=fg,i^a=i^8,c^b=cf,d^b=defg,e^b=eg,f^b=fh,i^d=i^12

Conjugacy classes & character table

109 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1083653);