Finite Group Databasebeta

?

← Prev (#15875138) Next (#15875140) →

#15875139

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

684 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

316 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 181788);