Finite Group Databasebeta

D13×#3019 #16729552

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD13×#3019

Splittings

FittingC13×#3019 ⋊ C2
SylowC13 ⋊ C2×#3019

Subgroups

subgroupG/H
centerC2C2×D13×#120
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3019C2
socleC2×C13C22×#120
hypercenter#3019D13
hypocenterC13C2×#3019
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×C4 ◁ #3019

5118 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036201);