Finite Group Databasebeta

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#29783199

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

626 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

1006 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 272754);