Finite Group Databasebeta

D13×#2044 #15890675

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C27

Aliases

direct productD13×#2044

Splittings

FittingC13×#2044 ⋊ C2
SylowC13 ⋊ C2×#2044

Subgroups

subgroupG/H
centerC22D13×#120
commutator, cosocleC24×C13C24
FrattiniC24C23×D13
FittingC13×#2044C2
socleC22×C13C2×#120
prime radicalD13×#534C2
hypercenter#2044D13
hypocenterC13C2×#2044
LCSG ▷ C24×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C24 ◁ #2044

2046 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 197324);