Finite Group Databasebeta

?

← Prev (#24984255) Next (#24984257) →

#24984256

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=d,b^2=eg,c^2=fgh,d^2=efg,e^2=h,f^2=gh,g^2=h,b^a=bc,c^a=ce,e^a=eh,f^a=fh,c^b=cf,d^b=def,e^b=eh,f^b=fg,g^b=gh,i^b=i^42

Conjugacy classes & character table

1213 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 57227);