Finite Group Databasebeta

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#30606252

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

570 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=e,b^2=f,d^2=gh,e^2=h,f^2=gh,g^2=h,b^a=bd,d^a=dg,f^a=fg,g^a=gh,i^a=i^50,d^b=dh,i^b=i^11,i^c=i^60,i^e=i^60,i^f=i^60

Conjugacy classes & character table

484 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1095807);