Finite Group Databasebeta

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#28616374

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1522 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,59|c^2=e,d^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,f^a=fh,g^a=gh,c^b=cg,f^b=fh,g^b=gh,f^c=fh,g^c=gh,i^c=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, 197253);