Finite Group Databasebeta

?

← Prev (#26235165) Next (#26235167) →

#26235166

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

730 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=g,b^2=e,c^2=fh,d^2=eh,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^46,c^b=ch,d^b=de,i^b=i^46

Conjugacy classes & character table

1070 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 188456);