Finite Group Databasebeta

D13×#3028 #16729655

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

Aliases

direct productD13×#3028

Splittings

FittingC13×#3028 ⋊ C2
SylowC13 ⋊ C2×#3028

Subgroups

subgroupG/H
centerC2C2×D13×#120
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#3028C2
socleC2×C13C22×#120
prime radicalD13×#585C2
hypercenter#3028D13
hypocenterC13C2×#3028
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×C4 ◁ #3028

4790 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 1036304);