Finite Group Databasebeta

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D₃₆₆₄ #20300930

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

Aliases

Splittings

Subgroups

28 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^5,229|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^228,c^b=cd,d^b=de,f^b=f^228

Conjugacy classes & character table

1835 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7328, 88);