Finite Group Databasebeta

?

← Prev (#29697650) Next (#29697652) →

#29697651

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

778 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=g,b^2=f,c^2=h,d^2=e,e^2=h,g^2=h,b^a=be,c^a=cf,i^a=i^60,d^b=de,e^b=eh,g^b=gh,i^b=i^60,i^d=i^60

Conjugacy classes & character table

1570 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 187206);