Finite Group Databasebeta

?

← Prev (#30598172) Next (#30598174) →

#30598173

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

868 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,61|a^2=f,c^2=g,d^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^11,c^b=ch,d^b=dg,i^b=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, 1087728);