Finite Group Databasebeta

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#29678581

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1006 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

1408 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 168136);