Finite Group Databasebeta

?

← Prev (#20300229) Next (#20300231) →

D₃₆₃₂ #20300230

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

28 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^5,227|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^226,c^b=cd,d^b=de,f^b=f^226

Conjugacy classes & character table

1819 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7264, 88);