Finite Group Databasebeta

?

← Prev (#30606153) Next (#30606155) →

#30606154

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

586 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=e,b^2=f,d^2=h,e^2=g,g^2=h,b^a=bd,f^a=fh,i^a=i^11,c^b=ch,e^b=eh,i^c=i^60,i^e=i^60

Conjugacy classes & character table

1048 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1095709);