Finite Group Databasebeta

?

← Prev (#28741726) Next (#28741728) →

#28741727

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

674 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|a^2=f,b^2=eg,d^2=h,e^2=gh,g^2=h,b^a=be,e^a=eg,g^a=gh,c^b=ch,i^b=i^58

Conjugacy classes & character table

1688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 322606);