Finite Group Databasebeta

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#15896769

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1068 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=h,b^2=eh,c^2=eh,d^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,f^a=fh,g^a=gh,i^a=i^12,c^b=cg,f^b=fh,g^b=gh,d^c=dh,f^c=fh,g^c=gh,i^c=i^12

Conjugacy classes & character table

274 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 203418);