Finite Group Databasebeta

D13×#3289 #16739104

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD13×#3289

Splittings

FittingC13×#3289 ⋊ C2
SylowC13 ⋊ C2×#3289

Subgroups

subgroupG/H
centerC2D42×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3289C2
socleC2×C13C2×D42
hypercenter#3289D13
hypocenterC13C2×#3289
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ #3289

2620 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, 1045753);