Finite Group Databasebeta

?

← Prev (#19212104) Next (#19212106) →

#19212105

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

66 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,23|a^2=d,b^2=ce,c^2=ef,e^2=fg,f^2=gh,g^2=h,b^a=bc,c^a=ce,e^a=ef,f^a=fg,g^a=gh,i^b=i^22

Conjugacy classes & character table

488 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5888, 57467);